id	sid	eid	entity	type
ejpam-846	1	1	european journal	ORG
ejpam-846	2	1	3	CARDINAL
ejpam-846	2	2	3, 2010	DATE
ejpam-846	2	3	572-592	CARDINAL
ejpam-846	2	4	1307-5543	DATE
ejpam-846	2	5	granger	PERSON
ejpam-846	3	1	clive w.j	PERSON
ejpam-846	4	1	granger	PERSON
ejpam-846	4	2	edirisinghe department of statistics	ORG
ejpam-846	4	3	university of tennessee	ORG
ejpam-846	4	4	knoxville	GPE
ejpam-846	4	5	37996	DATE
ejpam-846	4	6	usa.	GPE
ejpam-846	8	1	first	ORDINAL
ejpam-846	9	1	first	ORDINAL
ejpam-846	9	2	second	ORDINAL
ejpam-846	10	1	100	CARDINAL
ejpam-846	11	1	2000	CARDINAL
ejpam-846	11	2	46n10	CARDINAL
ejpam-846	11	3	91g99	CARDINAL
ejpam-846	12	1	1	CARDINAL
ejpam-846	15	1	572	CARDINAL
ejpam-846	15	2	2010	DATE
ejpam-846	17	1	j. pure	PERSON
ejpam-846	17	2	3	CARDINAL
ejpam-846	17	3	2010	DATE
ejpam-846	17	4	572-592 573	QUANTITY
ejpam-846	24	1	two	CARDINAL
ejpam-846	24	2	8	CARDINAL
ejpam-846	24	3	kall	PERSON
ejpam-846	25	1	11	CARDINAL
ejpam-846	25	2	20	CARDINAL
ejpam-846	26	1	c(x	ORG
ejpam-846	27	1	max x c(x)−	PERSON
ejpam-846	27	2	s.t	PERSON
ejpam-846	27	3	0	DATE
ejpam-846	27	4	1	CARDINAL
ejpam-846	28	1	ϕ(x	LOC
ejpam-846	28	2	ϕ(x	LOC
ejpam-846	29	1	y q(y	PERSON
ejpam-846	29	2	wy = h(ξ)−	ORG
ejpam-846	29	3	0	CARDINAL
ejpam-846	30	1	2	CARDINAL
ejpam-846	34	1	ℜk	PERSON
ejpam-846	35	1	∈	ORG
ejpam-846	35	2	∈	ORG
ejpam-846	35	3	linear	ORG
ejpam-846	39	1	2	CARDINAL
ejpam-846	41	1	j. pure	PERSON
ejpam-846	41	2	3	CARDINAL
ejpam-846	41	3	2010	DATE
ejpam-846	41	4	572	CARDINAL
ejpam-846	41	5	0	CARDINAL
ejpam-846	43	1	q(y	PERSON
ejpam-846	43	2	2	CARDINAL
ejpam-846	44	1	ϕ(x	LOC
ejpam-846	47	1	wherem	PERSON
ejpam-846	48	1	1	CARDINAL
ejpam-846	48	2	15	CARDINAL
ejpam-846	49	1	2	CARDINAL
ejpam-846	50	1	1	CARDINAL
ejpam-846	50	2	3	CARDINAL
ejpam-846	50	3	second	ORDINAL
ejpam-846	50	4	2	CARDINAL
ejpam-846	51	1	19	CARDINAL
ejpam-846	54	1	granger	PERSON
ejpam-846	57	1	section 2	LAW
ejpam-846	58	1	section 3	LAW
ejpam-846	58	2	first	ORDINAL
ejpam-846	58	3	second	ORDINAL
ejpam-846	59	1	section 4	LAW
ejpam-846	59	2	section 5	LAW
ejpam-846	59	3	section 6	DATE
ejpam-846	59	4	2	CARDINAL
ejpam-846	59	5	1	CARDINAL
ejpam-846	61	1	1	CARDINAL
ejpam-846	61	2	max	PERSON
ejpam-846	61	3	c(x)−	ORG
ejpam-846	61	4	4	CARDINAL
ejpam-846	61	5	x∗l	GPE
ejpam-846	64	1	j. pure	PERSON
ejpam-846	64	2	3	CARDINAL
ejpam-846	64	3	2010	DATE
ejpam-846	64	4	572-592 575	CARDINAL
ejpam-846	64	5	λψ(x∗l	ORG
ejpam-846	64	6	5	CARDINAL
ejpam-846	64	7	x∗l	GPE
ejpam-846	65	1	5	CARDINAL
ejpam-846	67	1	first	ORDINAL
ejpam-846	67	2	second	ORDINAL
ejpam-846	68	1	2.1	CARDINAL
ejpam-846	68	2	ψ(x	ORG
ejpam-846	70	1	first	ORDINAL
ejpam-846	71	1	ℜk	PERSON
ejpam-846	71	2	1	CARDINAL
ejpam-846	76	1	1	CARDINAL
ejpam-846	80	1	ϕ(x, ξ)p	DATE
ejpam-846	80	2	1	CARDINAL
ejpam-846	80	3	6	CARDINAL
ejpam-846	81	1	6	CARDINAL
ejpam-846	83	1	14	CARDINAL
ejpam-846	85	1	karr	PERSON
ejpam-846	86	1	13	CARDINAL
ejpam-846	87	1	6	CARDINAL
ejpam-846	88	1	2	CARDINAL
ejpam-846	89	1	φ∗(x	ORG
ejpam-846	91	1	fi(ξ)πi ≤ ϕ(x	FAC
ejpam-846	91	2	∈	ORG
ejpam-846	92	1	7	CARDINAL
ejpam-846	93	1	j. pure	PERSON
ejpam-846	93	2	3	CARDINAL
ejpam-846	93	3	2010	DATE
ejpam-846	93	4	572	CARDINAL
ejpam-846	94	1	12	CARDINAL
ejpam-846	95	1	gustafson	PERSON
ejpam-846	96	1	9	CARDINAL
ejpam-846	97	1	6	CARDINAL
ejpam-846	97	2	7	CARDINAL
ejpam-846	97	3	1	CARDINAL
ejpam-846	99	1	6	CARDINAL
ejpam-846	100	1	7	CARDINAL
ejpam-846	101	1	6	CARDINAL
ejpam-846	102	1	7	CARDINAL
ejpam-846	103	1	fi(ξ)p	CARDINAL
ejpam-846	103	2	dξ))πi	ORG
ejpam-846	104	1	ϕ(x	LOC
ejpam-846	105	1	8)	CARDINAL
ejpam-846	105	2	7	CARDINAL
ejpam-846	105	3	7	CARDINAL
ejpam-846	108	1	2	CARDINAL
ejpam-846	108	2	1	CARDINAL
ejpam-846	112	1	gustafson	PERSON
ejpam-846	113	1	9	CARDINAL
ejpam-846	113	2	kall	PERSON
ejpam-846	114	1	12	CARDINAL
ejpam-846	114	2	4	CARDINAL
ejpam-846	116	1	1	CARDINAL
ejpam-846	118	1	∈	PRODUCT
ejpam-846	121	1	∈	ORG
ejpam-846	122	1	9	CARDINAL
ejpam-846	122	2	3	CARDINAL
ejpam-846	123	1	7	CARDINAL
ejpam-846	123	2	7	CARDINAL
ejpam-846	123	3	m. proof	PERSON
ejpam-846	124	1	gustafson	PERSON
ejpam-846	125	1	9	CARDINAL
ejpam-846	125	2	kall	PERSON
ejpam-846	126	1	12	CARDINAL
ejpam-846	126	2	4	CARDINAL
ejpam-846	128	1	first	ORDINAL
ejpam-846	130	1	j. pure	PERSON
ejpam-846	130	2	3	CARDINAL
ejpam-846	130	3	2010	DATE
ejpam-846	130	4	572	CARDINAL
ejpam-846	130	5	2.2	CARDINAL
ejpam-846	131	1	first	ORDINAL
ejpam-846	131	2	6	CARDINAL
ejpam-846	131	3	first	ORDINAL
ejpam-846	131	4	φ1(x	PERSON
ejpam-846	131	5	ϕ(x, ξ)p	DATE
ejpam-846	133	1	10	CARDINAL
ejpam-846	134	1	ϕ(x	LOC
ejpam-846	134	2	∈	ORG
ejpam-846	134	3	11	CARDINAL
ejpam-846	135	1	10	CARDINAL
ejpam-846	137	1	k = 1	PERSON
ejpam-846	140	1	12	CARDINAL
ejpam-846	140	2	ϕ(x	LOC
ejpam-846	141	1	ξ1	NORP
ejpam-846	143	1	ξk	CARDINAL
ejpam-846	143	2	ϕ(x	LOC
ejpam-846	143	3	∈	ORG
ejpam-846	144	1	13	CARDINAL
ejpam-846	144	2	4	CARDINAL
ejpam-846	144	3	⊆	CARDINAL
ejpam-846	146	1	ẑ ∈ z(x	ORG
ejpam-846	147	1	z(x	ORG
ejpam-846	147	2	ϕ(x	LOC
ejpam-846	147	3	∈	ORG
ejpam-846	147	4	1	CARDINAL
ejpam-846	153	1	1	CARDINAL
ejpam-846	154	1	k	PERSON
ejpam-846	154	2	i=1 λiϕ(x	GPE
ejpam-846	154	3	i=1	GPE
ejpam-846	154	4	1	CARDINAL
ejpam-846	155	1	14	CARDINAL
ejpam-846	155	2	14	CARDINAL
ejpam-846	155	3	i=1 λiϕ(x	GPE
ejpam-846	155	4	ϕ(x	LOC
ejpam-846	157	1	ϕ(x	LOC
ejpam-846	160	1	∈	ORG
ejpam-846	164	1	ẑ ∈ eϕ(x	ORG
ejpam-846	165	1	φ1(x	PERSON
ejpam-846	167	1	z(x	ORG
ejpam-846	167	2	⊆	CARDINAL
ejpam-846	167	3	4	CARDINAL
ejpam-846	167	4	12	CARDINAL
ejpam-846	169	1	k = 1	PERSON
ejpam-846	172	1	ϕ(x	LOC
ejpam-846	172	2	∈	ORG
ejpam-846	172	3	⊆	CARDINAL
ejpam-846	172	4	ξ̄1	GPE
ejpam-846	174	1	ξk,	GPE
ejpam-846	174	2	ϕ(x	LOC
ejpam-846	174	3	12	CARDINAL
ejpam-846	176	1	first	ORDINAL
ejpam-846	177	1	ϕ(x	GPE
ejpam-846	178	1	10	CARDINAL
ejpam-846	180	1	j. pure	PERSON
ejpam-846	180	2	3	CARDINAL
ejpam-846	180	3	2010	DATE
ejpam-846	180	4	572-592 578	QUANTITY
ejpam-846	180	5	∈	ORG
ejpam-846	180	6	10	CARDINAL
ejpam-846	180	7	3	CARDINAL
ejpam-846	180	8	ϕ(x	LOC
ejpam-846	180	9	k=1 ξ̄kπk	PERSON
ejpam-846	180	10	∈	ORG
ejpam-846	181	1	15	CARDINAL
ejpam-846	181	2	ϕ(x	LOC
ejpam-846	181	3	ξ̄.	TIME
ejpam-846	181	4	first	ORDINAL
ejpam-846	183	1	first	ORDINAL
ejpam-846	183	2	j∈λ	GPE
ejpam-846	183	3	∏ j∈λ ξ̄j	GPE
ejpam-846	183	4	∀λ ∈	PERSON
ejpam-846	183	5	16	CARDINAL
ejpam-846	183	6	1	CARDINAL
ejpam-846	185	1	2	CARDINAL
ejpam-846	186	1	first	ORDINAL
ejpam-846	189	1	∏ j∈λ	GPE
ejpam-846	189	2	∏ j∈λ ξ̄j),∀λ ∈	ORG
ejpam-846	190	1	17	CARDINAL
ejpam-846	190	2	6	CARDINAL
ejpam-846	191	1	jensen	PERSON
ejpam-846	194	1	17	CARDINAL
ejpam-846	195	1	17	CARDINAL
ejpam-846	195	2	10	CARDINAL
ejpam-846	196	1	3. second moment	TIME
ejpam-846	196	2	first	ORDINAL
ejpam-846	197	1	1	CARDINAL
ejpam-846	198	1	k	PERSON
ejpam-846	199	1	ϕ(x, ξ)p	DATE
ejpam-846	200	1	18	CARDINAL
ejpam-846	200	2	p̃	ORG
ejpam-846	200	3	p̃	ORG
ejpam-846	201	1	k	PERSON
ejpam-846	201	2	1	CARDINAL
ejpam-846	202	1	k, k ≥ l	PERSON
ejpam-846	202	2	19	CARDINAL
ejpam-846	203	1	j. pure	PERSON
ejpam-846	203	2	3	CARDINAL
ejpam-846	203	3	2010	DATE
ejpam-846	203	4	572-592 579	CARDINAL
ejpam-846	203	5	mkl	ORG
ejpam-846	204	1	ϕ(x	LOC
ejpam-846	204	2	k ̸= l	ORG
ejpam-846	204	3	6	CARDINAL
ejpam-846	205	1	18	CARDINAL
ejpam-846	209	1	20	CARDINAL
ejpam-846	210	1	∈	PRODUCT
ejpam-846	210	2	21	CARDINAL
ejpam-846	210	3	ξ̄1	GPE
ejpam-846	212	1	m1k	LANGUAGE
ejpam-846	212	2	m22	LOC
ejpam-846	213	1	m2k	PERSON
ejpam-846	214	1	mk−1,k	PERSON
ejpam-846	214	2	mkk	PERSON
ejpam-846	216	1	2	CARDINAL
ejpam-846	217	1	2	CARDINAL
ejpam-846	219	1	ξ2ξk	DATE
ejpam-846	220	1	ξk−1ξk	CARDINAL
ejpam-846	220	2	2	CARDINAL
ejpam-846	221	1	∈	PRODUCT
ejpam-846	221	2	1	CARDINAL
ejpam-846	221	3	22	CARDINAL
ejpam-846	221	4	2	CARDINAL
ejpam-846	222	1	18	CARDINAL
ejpam-846	223	1	18	CARDINAL
ejpam-846	223	2	20	CARDINAL
ejpam-846	224	1	ϕ(x	LOC
ejpam-846	225	1	20	CARDINAL
ejpam-846	227	1	ϕ(x	LOC
ejpam-846	229	1	1	CARDINAL
ejpam-846	230	1	k + 1	ORG
ejpam-846	230	2		PERSON
ejpam-846	231	1	1	CARDINAL
ejpam-846	232	1	u1k	PERSON
ejpam-846	232	2	k 1	PERSON
ejpam-846	232	3	1	CARDINAL
ejpam-846	232	4	−1	CARDINAL
ejpam-846	232	5	23	CARDINAL
ejpam-846	232	6	jth	PRODUCT
ejpam-846	232	7	vj ≡	ORG
ejpam-846	233	1	j k	PERSON
ejpam-846	237	1	24	CARDINAL
ejpam-846	237	2	∈	ORG
ejpam-846	237	3	1	CARDINAL
ejpam-846	237	4	1	CARDINAL
ejpam-846	240	1	25	CARDINAL
ejpam-846	241	1	j. pure	PERSON
ejpam-846	241	2	3	CARDINAL
ejpam-846	241	3	2010	DATE
ejpam-846	241	4	572-592	CARDINAL
ejpam-846	242	1	21	CARDINAL
ejpam-846	242	2	nonnegative λi(ξ	ORG
ejpam-846	242	3	1	CARDINAL
ejpam-846	245	1	∈	ORG
ejpam-846	245	2	1	CARDINAL
ejpam-846	247	1	26	CARDINAL
ejpam-846	247	2	26	CARDINAL
ejpam-846	248	1	λi(ξ)ϕ(x	ORG
ejpam-846	248	2	27	CARDINAL
ejpam-846	248	3	1	CARDINAL
ejpam-846	251	1	k + 1	ORG
ejpam-846	257	1	λi(ξ)ϕ(x	ORG
ejpam-846	257	2	28	CARDINAL
ejpam-846	257	3	i=1 ep	PERSON
ejpam-846	259	1	1	CARDINAL
ejpam-846	260	1	1	CARDINAL
ejpam-846	261	1	k	PERSON
ejpam-846	262	1	1	CARDINAL
ejpam-846	263	1	k	PERSON
ejpam-846	264	1	k.	PERSON
ejpam-846	264	2	30	CARDINAL
ejpam-846	265	1	25	CARDINAL
ejpam-846	268	1	mkl	PRODUCT
ejpam-846	272	1	λi(ξ)ϕ(x	ORG
ejpam-846	273	1	31	CARDINAL
ejpam-846	273	2	31	CARDINAL
ejpam-846	273	3	20	CARDINAL
ejpam-846	273	4	31	CARDINAL
ejpam-846	273	5	21	CARDINAL
ejpam-846	274	1	1	CARDINAL
ejpam-846	276	1	k + 1	ORG
ejpam-846	276	2	ϕ(x	LOC
ejpam-846	276	3	1	CARDINAL
ejpam-846	278	1	k + 1	ORG
ejpam-846	278	2	32	CARDINAL
ejpam-846	278	3	ϕ(x	LOC
ejpam-846	278	4	∈	PRODUCT
ejpam-846	278	5	ϕ(x	LOC
ejpam-846	278	6	max	PERSON
ejpam-846	279	1	33	CARDINAL
ejpam-846	279	2	ξ̃i ∈	PRODUCT
ejpam-846	280	1	1	CARDINAL
ejpam-846	282	1	ξ̃ik	CARDINAL
ejpam-846	282	2	1	CARDINAL
ejpam-846	282	3	1	CARDINAL
ejpam-846	284	1	k	PERSON
ejpam-846	284	2	34	CARDINAL
ejpam-846	284	3	1	CARDINAL
ejpam-846	286	1	35	CARDINAL
ejpam-846	287	1	j. pure	PERSON
ejpam-846	287	2	3	CARDINAL
ejpam-846	287	3	2010	DATE
ejpam-846	287	4	572	CARDINAL
ejpam-846	287	5	8	CARDINAL
ejpam-846	288	1	ξ̃i	CARDINAL
ejpam-846	288	2	∈	ORG
ejpam-846	288	3	1	CARDINAL
ejpam-846	289	1	k + 1	ORG
ejpam-846	290	1	∈	ORG
ejpam-846	290	2	25	CARDINAL
ejpam-846	290	3	nonnegative λi(ξ	ORG
ejpam-846	291	1	0	CARDINAL
ejpam-846	292	1	24	CARDINAL
ejpam-846	294	1	0	CARDINAL
ejpam-846	295	1	29	CARDINAL
ejpam-846	295	2	35	CARDINAL
ejpam-846	301	1	0	CARDINAL
ejpam-846	302	1	34	CARDINAL
ejpam-846	303	1	1	CARDINAL
ejpam-846	305	1	1	CARDINAL
ejpam-846	306	1	1 +	DATE
ejpam-846	308	1	0	CARDINAL
ejpam-846	310	1	1	CARDINAL
ejpam-846	313	1	1	CARDINAL
ejpam-846	313	2	7	CARDINAL
ejpam-846	314	1	ξ̃i ∈	ORG
ejpam-846	314	2	9	CARDINAL
ejpam-846	315	1	k+1∑ i=1	PERSON
ejpam-846	317	1	λi(ξ)ϕ(x	ORG
ejpam-846	322	1	ξ̃	GPE
ejpam-846	323	1	36	CARDINAL
ejpam-846	324	1	first	ORDINAL
ejpam-846	325	1	second	ORDINAL
ejpam-846	325	2	33	CARDINAL
ejpam-846	325	3	∈ ℜk	ORG
ejpam-846	327	1	max j=1,...	PERSON
ejpam-846	328	1	j. pure	PERSON
ejpam-846	328	2	3	CARDINAL
ejpam-846	328	3	2010	DATE
ejpam-846	328	4	572	CARDINAL
ejpam-846	328	5	max j=1,...	PERSON
ejpam-846	328	6	j(x	ORG
ejpam-846	328	7	max j=1,...	PERSON
ejpam-846	328	8	max j=1,...	PERSON
ejpam-846	331	1	max j=1,...	PERSON
ejpam-846	331	2	max j=1,...	PERSON
ejpam-846	332	1	max j=1,...	PERSON
ejpam-846	332	2	ξ̃i	ORG
ejpam-846	333	1	ξ̃	GPE
ejpam-846	334	1	2	CARDINAL
ejpam-846	335	1	37	CARDINAL
ejpam-846	336	1	ξ̃	GPE
ejpam-846	337	1	π∗ ∈ π	ORG
ejpam-846	337	2	20	CARDINAL
ejpam-846	337	3	37	CARDINAL
ejpam-846	337	4	2	CARDINAL
ejpam-846	338	1	18	CARDINAL
ejpam-846	338	2	2	CARDINAL
ejpam-846	339	1	10	CARDINAL
ejpam-846	340	1	2	CARDINAL
ejpam-846	341	1	2	CARDINAL
ejpam-846	342	1	ξ̃	GPE
ejpam-846	343	1	38	CARDINAL
ejpam-846	344	1	37	CARDINAL
ejpam-846	344	2	anderson	PERSON
ejpam-846	344	3	nash	PERSON
ejpam-846	345	1	1	CARDINAL
ejpam-846	347	1	i=1 ρi g(x	PERSON
ejpam-846	347	2	ξ̃	GPE
ejpam-846	347	3	2	CARDINAL
ejpam-846	347	4	σ	CARDINAL
ejpam-846	349	1	ϕ(x	LOC
ejpam-846	349	2	39	CARDINAL
ejpam-846	351	1	1 σ	QUANTITY
ejpam-846	351	2	ξq(dξ	DATE
ejpam-846	352	1	σ mkl + ∫ ξ ξkξlq(dξ	PERSON
ejpam-846	352	2	k	PERSON
ejpam-846	352	3	1	CARDINAL
ejpam-846	353	1	k, k ≥ l σ	PERSON
ejpam-846	353	2	0	DATE
ejpam-846	353	3	0	CARDINAL
ejpam-846	354	1	j. pure	PERSON
ejpam-846	354	2	3	CARDINAL
ejpam-846	354	3	2010	DATE
ejpam-846	354	4	572-592 583	QUANTITY
ejpam-846	354	5	σ ≤ 1	QUANTITY
ejpam-846	354	6	39	CARDINAL
ejpam-846	354	7	2	CARDINAL
ejpam-846	354	8	σ	CARDINAL
ejpam-846	355	1	1− σ	PRODUCT
ejpam-846	355	2	ϕ(x	LOC
ejpam-846	355	3	40	CARDINAL
ejpam-846	357	1	41	CARDINAL
ejpam-846	358	1	2	CARDINAL
ejpam-846	359	1	2	CARDINAL
ejpam-846	363	1	1	CARDINAL
ejpam-846	365	1	k + 1	ORG
ejpam-846	365	2	ξ̃i ∈	ORG
ejpam-846	365	3	ξ̃i	ORG
ejpam-846	366	1	ξ̃i	CARDINAL
ejpam-846	367	1	ξ̃i	ORG
ejpam-846	367	2	ξ̃i	ORG
ejpam-846	368	1	max	PERSON
ejpam-846	368	2	ϕ(x	LOC
ejpam-846	369	1	42	CARDINAL
ejpam-846	370	1	42	CARDINAL
ejpam-846	373	1	2	CARDINAL
ejpam-846	375	1	ϕ(x	LOC
ejpam-846	375	2	ξ̃	GPE
ejpam-846	376	1	ψl(x	PERSON
ejpam-846	377	1	43	CARDINAL
ejpam-846	378	1	18	CARDINAL
ejpam-846	378	2	∗	CARDINAL
ejpam-846	379	1	ϕ(x	LOC
ejpam-846	380	1	4	CARDINAL
ejpam-846	380	2	4	CARDINAL
ejpam-846	381	1	10	CARDINAL
ejpam-846	381	2	{ψl(x	PERSON
ejpam-846	382	1	1	CARDINAL
ejpam-846	383	1	k + 1	ORG
ejpam-846	383	2	37	CARDINAL
ejpam-846	384	1	4	CARDINAL
ejpam-846	386	1	j. pure	PERSON
ejpam-846	386	2	3	CARDINAL
ejpam-846	386	3	2010	DATE
ejpam-846	386	4	572	CARDINAL
ejpam-846	386	5	21	CARDINAL
ejpam-846	386	6	the supporting simplicial	ORG
ejpam-846	386	7	ξ̃i	ORG
ejpam-846	387	1	1	CARDINAL
ejpam-846	389	1	first	ORDINAL
ejpam-846	390	1	18	CARDINAL
ejpam-846	390	2	2	CARDINAL
ejpam-846	391	1	2	CARDINAL
ejpam-846	391	2	the supporting simplicial function	ORG
ejpam-846	391	3	ξ̃i	ORG
ejpam-846	391	4	1	CARDINAL
ejpam-846	393	1	k + 1	ORG
ejpam-846	393	2	4	CARDINAL
ejpam-846	394	1	section 1	LAW
ejpam-846	394	2	1	CARDINAL
ejpam-846	394	3	2	CARDINAL
ejpam-846	396	1	1	CARDINAL
ejpam-846	398	1	k.	PERSON
ejpam-846	399	1	xj	ORG
ejpam-846	400	1	1	CARDINAL
ejpam-846	402	1	k.	PERSON
ejpam-846	403	1	5	CARDINAL
ejpam-846	403	2	zj	ORG
ejpam-846	404	1	lj(zj	DATE
ejpam-846	405	1	zj	ORG
ejpam-846	405	2	2	CARDINAL
ejpam-846	405	3	volj	LOC
ejpam-846	405	4	daily	DATE
ejpam-846	405	5	zj	ORG
ejpam-846	405	6	zj	ORG
ejpam-846	408	1	xj ∈ ℜ	ORG
ejpam-846	409	1	one	CARDINAL
ejpam-846	409	2	5	CARDINAL
ejpam-846	412	1	500	CARDINAL
ejpam-846	413	1	∈	ORG
ejpam-846	414	1	ν ≈ 0	ORG
ejpam-846	416	1	j. pure	PERSON
ejpam-846	416	2	3	CARDINAL
ejpam-846	416	3	2010	DATE
ejpam-846	416	4	572	CARDINAL
ejpam-846	416	5	xmin j ≤ xj ≤	ORG
ejpam-846	416	6	xmax	ORG
ejpam-846	417	1	pj .	PERSON
ejpam-846	419	1	max	PERSON
ejpam-846	420	1	s.t	PERSON
ejpam-846	420	2	1′x ≤	MONEY
ejpam-846	421	1	|xj pj	PERSON
ejpam-846	422	1	j = 1	PERSON
ejpam-846	423	1	k.	PERSON
ejpam-846	423	2	44	DATE
ejpam-846	423	3	0	CARDINAL
ejpam-846	424	1	ψ(x	ORG
ejpam-846	425	1	5	CARDINAL
ejpam-846	426	1	artzner et al	PERSON
ejpam-846	427	1	17	CARDINAL
ejpam-846	428	1	18	CARDINAL
ejpam-846	428	2	16	CARDINAL
ejpam-846	431	1	wherem	PERSON
ejpam-846	431	2	section 1, i.e.	LAW
ejpam-846	432	1	bychkov	GPE
ejpam-846	432	2	3	CARDINAL
ejpam-846	432	3	first	ORDINAL
ejpam-846	433	1	one	CARDINAL
ejpam-846	433	2	− ξ′x	PERSON
ejpam-846	435	1	− ξ′x	PERSON
ejpam-846	435	2	0})γ	PERSON
ejpam-846	435	3	1	CARDINAL
ejpam-846	436	1	2	CARDINAL
ejpam-846	436	2	ψ(x	ORG
ejpam-846	436	3	ϕ(x	LOC
ejpam-846	437	1	s.t	PERSON
ejpam-846	437	2	0	CARDINAL
ejpam-846	437	3	45	CARDINAL
ejpam-846	437	4	4.1	CARDINAL
ejpam-846	440	1	21	CARDINAL
ejpam-846	442	1	j. pure	PERSON
ejpam-846	442	2	3	CARDINAL
ejpam-846	442	3	2010	DATE
ejpam-846	442	4	572-592 586	QUANTITY
ejpam-846	444	1	daily	DATE
ejpam-846	444	2	t days	DATE
ejpam-846	444	3	first	ORDINAL
ejpam-846	444	4	second	ORDINAL
ejpam-846	445	1	second	ORDINAL
ejpam-846	445	2	section 3 to approximate the risk function	LAW
ejpam-846	449	1	∈ ℜk	ORG
ejpam-846	450	1	co{ξ1	ORG
ejpam-846	452	1	⊆	CARDINAL
ejpam-846	452	2	1	CARDINAL
ejpam-846	453	1	6	CARDINAL
ejpam-846	455	1	second	ORDINAL
ejpam-846	455	2	ξ̃i	ORG
ejpam-846	455	3	1	CARDINAL
ejpam-846	457	1	k + 1	ORG
ejpam-846	457	2	34)-(35	CARDINAL
ejpam-846	457	3	1	CARDINAL
ejpam-846	457	4	1	CARDINAL
ejpam-846	457	5	10-year	DATE
ejpam-846	457	6	january 2000	DATE
ejpam-846	457	7	2	CARDINAL
ejpam-846	457	8	approximated1	PERSON
ejpam-846	457	9	3	CARDINAL
ejpam-846	457	10	1	CARDINAL
ejpam-846	457	11	second	ORDINAL
ejpam-846	457	12	ℜ2	DATE
ejpam-846	458	1	december 2009	DATE
ejpam-846	458	2	1	CARDINAL
ejpam-846	459	1	six	CARDINAL
ejpam-846	459	2	10year	CARDINAL
ejpam-846	460	1	95	CARDINAL
ejpam-846	462	1	spdr trades	ORG
ejpam-846	462	2	1	CARDINAL
ejpam-846	463	1	95	CARDINAL
ejpam-846	463	2	second	ORDINAL
ejpam-846	463	3	96	CARDINAL
ejpam-846	463	4	2,500	CARDINAL
ejpam-846	464	1	the beginning of the year 2010	DATE
ejpam-846	464	2	half-year	DATE
ejpam-846	464	3	june 30	DATE
ejpam-846	465	1	the beginning of 2010	DATE
ejpam-846	465	2	the end of every month	DATE
ejpam-846	466	1	the beginning of february 2010	DATE
ejpam-846	466	2	january 2010	DATE
ejpam-846	466	3	2000-2009	DATE
ejpam-846	466	4	february 2010	DATE
ejpam-846	467	1	monthly	DATE
ejpam-846	468	1	j. pure	PERSON
ejpam-846	468	2	3	CARDINAL
ejpam-846	468	3	2010	DATE
ejpam-846	468	4	572-592 587 aa aapl abt	QUANTITY
ejpam-846	468	5	aep	ORG
ejpam-846	469	1	amzn avp axp ba	ORG
ejpam-846	469	2	bac bax bhi	PERSON
ejpam-846	469	3	cpb csco cvs	ORG
ejpam-846	469	4	cvx dd dell	ORG
ejpam-846	469	5	dvn emc etr exc	PERSON
ejpam-846	469	6	fcx fdx	ORG
ejpam-846	469	7	ge	ORG
ejpam-846	470	1	hpq ibm	PERSON
ejpam-846	470	2	jnj	ORG
ejpam-846	470	3	jpm kft ko lmt	PERSON
ejpam-846	470	4	mcd	ORG
ejpam-846	470	5	mdt	PRODUCT
ejpam-846	470	6	mmm mo mon	PERSON
ejpam-846	470	7	msft nke	PERSON
ejpam-846	470	8	nov nsc	DATE
ejpam-846	470	9	orcl	ORG
ejpam-846	471	1	pfe	ORG
ejpam-846	472	1	slb sle	ORG
ejpam-846	472	2	tgt	ORG
ejpam-846	473	1	wfc wmb wmt	PERSON
ejpam-846	473	2	wy	GPE
ejpam-846	473	3	1	CARDINAL
ejpam-846	473	4	the beginning of each month	DATE
ejpam-846	474	1	monthly	DATE
ejpam-846	475	1	january-june, 2010	DATE
ejpam-846	476	1	$1 million	MONEY
ejpam-846	476	2	the end of 2009	DATE
ejpam-846	476	3	xmin j = −10%b0	PERSON
ejpam-846	477	1	10%b0	CARDINAL
ejpam-846	477	2	5%	PERCENT
ejpam-846	478	1	more than 10%	PERCENT
ejpam-846	478	2	5%	PERCENT
ejpam-846	479	1	the beginning of 2010	DATE
ejpam-846	479	2	zero	CARDINAL
ejpam-846	480	1	monthly	DATE
ejpam-846	480	2	x0	ORG
ejpam-846	481	1	0.02	CARDINAL
ejpam-846	481	2	1.0	CARDINAL
ejpam-846	484	1	monthly	DATE
ejpam-846	484	2	3%	PERCENT
ejpam-846	484	3	jan-jun, 2010	DATE
ejpam-846	485	1	half-year	DATE
ejpam-846	485	2	19.41%	PERCENT
ejpam-846	486	1	zero	CARDINAL
ejpam-846	487	1	5	CARDINAL
ejpam-846	488	1	daily	DATE
ejpam-846	488	2	250 days	DATE
ejpam-846	488	3	daily	DATE
ejpam-846	488	4	250 days	DATE
ejpam-846	493	1	j. pure	PERSON
ejpam-846	493	2	3	CARDINAL
ejpam-846	493	3	2010	DATE
ejpam-846	493	4	572-592 588	QUANTITY
ejpam-846	494	1	jan 01-jun 30, 2010	DATE
ejpam-846	494	2	monthly	DATE
ejpam-846	495	1	aror=−13.49%	PERCENT
ejpam-846	495	2	astd=20.46%	PERCENT
ejpam-846	495	3	maxdd=14.86	GPE
ejpam-846	495	4	as ‘percent	PERCENT
ejpam-846	496	1	two	CARDINAL
ejpam-846	496	2	2000-2009	DATE
ejpam-846	496	3	95	CARDINAL
ejpam-846	496	4	1	CARDINAL
ejpam-846	496	5	•	CARDINAL
ejpam-846	496	6	second	ORDINAL
ejpam-846	496	7	45	CARDINAL
ejpam-846	497	1	markowitz	ORG
ejpam-846	497	2	ϕ(x	LOC
ejpam-846	498	1	astd portfolio trade	ORG
ejpam-846	498	2	monthly	DATE
ejpam-846	498	3	44	CARDINAL
ejpam-846	498	4	2	CARDINAL
ejpam-846	499	1	two	CARDINAL
ejpam-846	499	2	3	CARDINAL
ejpam-846	503	1	17%	PERCENT
ejpam-846	503	2	19%	PERCENT
ejpam-846	503	3	2010	DATE
ejpam-846	503	4	monthly	DATE
ejpam-846	503	5	13%	PERCENT
ejpam-846	503	6	15%	PERCENT
ejpam-846	503	7	a li	PERSON
ejpam-846	503	8	7%	PERCENT
ejpam-846	503	9	9%	PERCENT
ejpam-846	503	10	11%	PERCENT
ejpam-846	503	11	li	PERSON
ejpam-846	503	12	5%	PERCENT
ejpam-846	503	13	10%	PERCENT
ejpam-846	503	14	15%	PERCENT
ejpam-846	503	15	20%	PERCENT
ejpam-846	503	16	25%	PERCENT
ejpam-846	503	17	30%	PERCENT
ejpam-846	503	18	2	CARDINAL
ejpam-846	504	1	januaryjune	GPE
ejpam-846	504	2	2010	DATE
ejpam-846	505	1	4	CARDINAL
ejpam-846	507	1	j. pure	PERSON
ejpam-846	507	2	3	CARDINAL
ejpam-846	507	3	2010	DATE
ejpam-846	507	4	572-592	CARDINAL
ejpam-846	507	5	589 50%	PERCENT
ejpam-846	507	6	30%	PERCENT
ejpam-846	507	7	35%	PERCENT
ejpam-846	507	8	40%	PERCENT
ejpam-846	507	9	45%	PERCENT
ejpam-846	509	1	o	DATE
ejpam-846	509	2	s h	ORG
ejpam-846	510	1	5%	PERCENT
ejpam-846	510	2	10%	PERCENT
ejpam-846	510	3	15%	PERCENT
ejpam-846	510	4	20%	PERCENT
ejpam-846	510	5	25%	PERCENT
ejpam-846	510	6	0%	PERCENT
ejpam-846	510	7	5%	PERCENT
ejpam-846	510	8	3	CARDINAL
ejpam-846	511	1	the 6 months	DATE
ejpam-846	511	2	2010	DATE
ejpam-846	513	1	second	ORDINAL
ejpam-846	515	1	jan jun, 2010	DATE
ejpam-846	515	2	monthly	DATE
ejpam-846	515	3	20%	PERCENT
ejpam-846	515	4	25%	PERCENT
ejpam-846	515	5	0%	PERCENT
ejpam-846	515	6	5%	PERCENT
ejpam-846	515	7	10%	PERCENT
ejpam-846	515	8	15%	PERCENT
ejpam-846	515	9	a li	PERSON
ejpam-846	515	10	15%	PERCENT
ejpam-846	515	11	10%	PERCENT
ejpam-846	515	12	5%	PERCENT
ejpam-846	515	13	0%	PERCENT
ejpam-846	515	14	6%	PERCENT
ejpam-846	515	15	8%	PERCENT
ejpam-846	515	16	10%	PERCENT
ejpam-846	515	17	12%	PERCENT
ejpam-846	515	18	14%	PERCENT
ejpam-846	515	19	16%	PERCENT
ejpam-846	515	20	18%	PERCENT
ejpam-846	515	21	20%	PERCENT
ejpam-846	515	22	22%	PERCENT
ejpam-846	515	23	li	PERSON
ejpam-846	515	24	o	DATE
ejpam-846	515	25	20%	PERCENT
ejpam-846	515	26	500	CARDINAL
ejpam-846	515	27	4	CARDINAL
ejpam-846	516	1	5	CARDINAL
ejpam-846	517	1	4	CARDINAL
ejpam-846	517	2	590	CARDINAL
ejpam-846	518	1	jan jun, 2010	DATE
ejpam-846	518	2	monthly	DATE
ejpam-846	518	3	20%	PERCENT
ejpam-846	518	4	25%	PERCENT
ejpam-846	518	5	0%	PERCENT
ejpam-846	518	6	5%	PERCENT
ejpam-846	518	7	10%	PERCENT
ejpam-846	518	8	15%	PERCENT
ejpam-846	518	9	a li ze d r e tu rn 20%	PERSON
ejpam-846	518	10	15%	PERCENT
ejpam-846	518	11	10%	PERCENT
ejpam-846	518	12	5%	PERCENT
ejpam-846	518	13	2%	PERCENT
ejpam-846	518	14	4%	PERCENT
ejpam-846	518	15	6%	PERCENT
ejpam-846	518	16	8%	PERCENT
ejpam-846	518	17	10%	PERCENT
ejpam-846	518	18	12%	PERCENT
ejpam-846	518	19	14%	PERCENT
ejpam-846	518	20	16%	PERCENT
ejpam-846	519	1	li	PERSON
ejpam-846	520	1	6 month	DATE
ejpam-846	520	2	500	CARDINAL
ejpam-846	520	3	5	CARDINAL
ejpam-846	521	1	6	CARDINAL
ejpam-846	523	1	first	ORDINAL
ejpam-846	523	2	second	ORDINAL
ejpam-846	526	1	two	CARDINAL
ejpam-846	526	2	one	CARDINAL
ejpam-846	527	1	second	ORDINAL
ejpam-846	527	2	second	ORDINAL
ejpam-846	530	1	1	CARDINAL
ejpam-846	530	2	anderson	PERSON
ejpam-846	530	3	p. nash	PERSON
ejpam-846	531	1	linear programming	ORG
ejpam-846	532	1	john wiley	PERSON
ejpam-846	532	2	new york	GPE
ejpam-846	532	3	1987	DATE
ejpam-846	533	1	591	CARDINAL
ejpam-846	533	2	2	CARDINAL
ejpam-846	533	3	r.j-b.	PERSON
ejpam-846	535	1	27:54–102	CARDINAL
ejpam-846	535	2	1986	DATE
ejpam-846	536	1	3	CARDINAL
ejpam-846	536	2	m. bychkov	PERSON
ejpam-846	538	1	university of tennessee	ORG
ejpam-846	538	2	knoxville	GPE
ejpam-846	538	3	tn	GPE
ejpam-846	538	4	2008	DATE
ejpam-846	539	1	4	CARDINAL
ejpam-846	540	1	second	ORDINAL
ejpam-846	541	1	44:909–922	CARDINAL
ejpam-846	541	2	1996	DATE
ejpam-846	542	1	5	CARDINAL
ejpam-846	544	1	s.a. zenios	GPE
ejpam-846	544	2	w.t.	GPE
ejpam-846	544	3	ziemba	ORG
ejpam-846	544	4	2	CARDINAL
ejpam-846	544	5	chapter 16	LAW
ejpam-846	545	1	707–750	CARDINAL
ejpam-846	546	1	2007	DATE
ejpam-846	547	1	6	CARDINAL
ejpam-846	549	1	university of tennessee	ORG
ejpam-846	549	2	knoxville	GPE
ejpam-846	549	3	2009	DATE
ejpam-846	550	1	g-m.	PERSON
ejpam-846	551	1	second	ORDINAL
ejpam-846	552	1	19:314–340, 1996	DATE
ejpam-846	553	1	8	CARDINAL
ejpam-846	553	2	w.t. ziemba	ORG
ejpam-846	555	1	40:660–677, 1992	DATE
ejpam-846	556	1	9	CARDINAL
ejpam-846	556	2	k. glashoff	PERSON
ejpam-846	556	3	s-a. gustafson	PERSON
ejpam-846	557	1	linear optimization	ORG
ejpam-846	558	1	springerverlag	PERSON
ejpam-846	558	2	new york	GPE
ejpam-846	558	3	1983	DATE
ejpam-846	559	1	10	CARDINAL
ejpam-846	559	2	jensen	PERSON
ejpam-846	560	1	inégalités	GPE
ejpam-846	560	2	entre les valeurs moyennes	ORG
ejpam-846	561	1	acta mathematica	PERSON
ejpam-846	561	2	30:173–177	CARDINAL
ejpam-846	561	3	1906	DATE
ejpam-846	562	1	11	CARDINAL
ejpam-846	563	1	stochastic linear	ORG
ejpam-846	564	1	berlin	GPE
ejpam-846	564	2	1976	DATE
ejpam-846	565	1	12	CARDINAL
ejpam-846	567	1	k. lommatzsch m.	PERSON
ejpam-846	568	1	k. zimmermann j. guddat	PERSON
ejpam-846	568	2	p. kall	PERSON
ejpam-846	569	1	akademie-verlag	PERSON
ejpam-846	569	2	berlin	GPE
ejpam-846	569	3	1988	DATE
ejpam-846	570	1	13	CARDINAL
ejpam-846	570	2	karr	PERSON
ejpam-846	572	1	1983	DATE
ejpam-846	573	1	14	CARDINAL
ejpam-846	573	2	j. kemperman	PERSON
ejpam-846	576	1	39:93–112	CARDINAL
ejpam-846	576	2	1968	DATE
ejpam-846	577	1	15	CARDINAL
ejpam-846	577	2	h. markowitz	PERSON
ejpam-846	578	1	john wiley	PERSON
ejpam-846	578	2	new york	GPE
ejpam-846	578	3	1959	DATE
ejpam-846	579	1	592	CARDINAL
ejpam-846	579	2	16	CARDINAL
ejpam-846	579	3	w. ogryczak	PERSON
ejpam-846	579	4	a. ruszczynski	PERSON
ejpam-846	581	1	siam journal of optimization	ORG
ejpam-846	581	2	13(1):60–78, 2002	DATE
ejpam-846	582	1	17	CARDINAL
ejpam-846	582	2	f. delbaen	PERSON
ejpam-846	582	3	d. heath	PERSON
ejpam-846	584	1	9:203–227	CARDINAL
ejpam-846	584	2	1999	DATE
ejpam-846	585	1	18	CARDINAL
ejpam-846	585	2	r.t.	ORG
ejpam-846	585	3	s. uryasev.	PERSON
ejpam-846	587	1	2(3):21–41	CARDINAL
ejpam-846	587	2	2000	DATE
ejpam-846	588	1	19	CARDINAL
ejpam-846	588	2	r.j-b.	PERSON
ejpam-846	590	1	siam review	ORG
ejpam-846	590	2	16:309–339, 1974	DATE
ejpam-846	591	1	20	CARDINAL
ejpam-846	591	2	r.j-b.	PERSON
ejpam-846	593	1	b. korte a. bachem	ORG
ejpam-846	593	2	m. groetschel	PERSON
ejpam-846	594	1	berlin	GPE
ejpam-846	594	2	1982	DATE
ejpam-846	595	1	21	CARDINAL
ejpam-846	595	2	ziemba	PERSON
ejpam-846	597	1	2003	DATE