STRONG APPROXIMATION OF THE NUMBER OF RENEWAL PACED RECORD TIMES

被引：1

作者：

ENNADIFI, G

机构：

[1] UNIV LYON 1,F-75252 PARIS 05,FRANCE

[2] UNIV PARIS 06,LSTA,F-75252 PARIS 05,FRANCE

[3] CNRS,URA 1321,F-75700 PARIS,FRANCE

来源：

JOURNAL OF STATISTICAL PLANNING AND INFERENCE | 1995年 / 45卷 / 1-2期

关键词：

RECORD VALUES; RECORD TIMES; INTER-RECORD TIMES; RENEWAL PROCESS; MARKOV PROCESS; STRONG APPROXIMATIONS;

D O I：

10.1016/0378-3758(94)00066-2

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

Let {Y-n, n greater than or equal to 0} be a sequence of independent and identically distributed random variables with continuous distribution function, and let {N(T), T greater than or equal to 0} be a renewal process independent of {Y-n n greater than or equal to 0}. We consider the process {H(T), T greater than or equal to 0} of the number of record times until time T of the renewal paced record process {X(T), T greater than or equal to 0} based on {Y-n, n greater than or equal to 0} and {N(T), T greater than or equal to 0}. We establish a strong invariance principle, and limit laws related to {H(T), T greater than or equal to 0}.

引用

页码：113 / 132

页数：20

共 63 条

[11] AN APPROXIMATION OF STOPPED SUMS WITH APPLICATIONS IN QUEUING THEORY
CSORGO, M
DEHEUVELS, P
HORVATH, L
[J]. ADVANCES IN APPLIED PROBABILITY, 1987, 19 (03) : 674 - 690
[12] Csorgo M., 1981, STRONG APPROXIMATION
[13] INVARIANCE-PRINCIPLES IN PROBABILITY FOR TRIANGULAR ARRAYS OF B-VALUED RANDOM VECTORS AND SOME APPLICATIONS
DEACOSTA, A
[J]. ANNALS OF PROBABILITY, 1982, 10 (02) : 346 - 373
[14] ALMOST SURE LIMIT POINTS OF RECORD VALUES
DEHAAN, L
RESNICK, SI
[J]. JOURNAL OF APPLIED PROBABILITY, 1973, 10 (03) : 528 - 542
[15] THE STRONG APPROXIMATION OF EXTREMAL PROCESSES
DEHEUVELS, P
[J]. ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1981, 58 (01): : 1 - 6
[16] THE STRONG APPROXIMATION OF EXTREMAL PROCESSES .2.
DEHEUVELS, P
[J]. ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1983, 62 (01): : 7 - 15
[17] THE CHARACTERIZATION OF DISTRIBUTIONS BY ORDER-STATISTICS AND RECORD VALUES - A UNIFIED APPROACH
DEHEUVELS, P
[J]. JOURNAL OF APPLIED PROBABILITY, 1984, 21 (02) : 326 - 334
[18] ASYMPTOTIC EXPANSIONS FOR SUMS OF NONIDENTICALLY DISTRIBUTED BERNOULLI RANDOM-VARIABLES
DEHEUVELS, P
PURI, ML
RALESCU, SS
[J]. JOURNAL OF MULTIVARIATE ANALYSIS, 1989, 28 (02) : 282 - 303
[19] THE COMPLETE CHARACTERIZATION OF THE UPPER AND LOWER-CLASS OF THE RECORD AND INTER-RECORD TIMES OF AN IID SEQUENCE
DEHEUVELS, P
[J]. ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1983, 62 (01): : 1 - 6
[20] DEHEUVELS P, 1984, STATISTICAL EXTREMES, P491

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