THICKENED RENEWAL PROCESSES

被引：1

作者：

DONEY, RA ^{[1
]}

OBRIEN, GL ^{[1
]}

机构：

[1] YORK UNIV,N YORK,ONTARIO,CANADA

来源：

STOCHASTIC PROCESSES AND THEIR APPLICATIONS | 1992年 / 43卷 / 01期

关键词：

RENEWAL PROCESSES; CONDITIONED WEAK LIMITS; BUSY PERIODS;

D O I：

10.1016/0304-4149(92)90072-X

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 {t(i) i greater-than-or-equal-to 0} be an ordinary renewal process and assume the lifetime distribution function has the form F(x) = cx(alpha)(1 + lambdax + o(x)) near 0+. The asymptotic conditional distribution as n --> infinity of {nt(i) i greater-than-or-equal-to 0}, given that t(n) less-than-or-equal-to 1, is that of a renewal process with a gamma lifetime distribution depending only on alpha.

引用

页码：1 / 8

页数：8

共 50 条

[1] On a class of spatial renewal processes: Renewal processes synchronization probabilities
Karamzadeh, M.
Soltani, A. R.
Mardani-Fard, H. A.
STATISTICS & PROBABILITY LETTERS, 2020, 158
[2] MARKOV RENEWAL PROCESSES AND RENEWAL PROCESSES - SOME CONDITIONS FOR EQUIVALENCE
SIMON, B
DISNEY, RL
NEW ZEALAND OPERATIONAL RESEARCH, 1984, 12 (01): : 19 - 29
[3] ON MATRIX RENEWAL FUNCTION FOR MARKOV RENEWAL PROCESSES
KEILSON, J
ANNALS OF MATHEMATICAL STATISTICS, 1969, 40 (06): : 1901 - &
[4] On approximate renewal models for the superposition of renewal processes
Torab, P
Kamen, EW
2001 IEEE INTERNATIONAL CONFERENCE ON COMMUNICATIONS, VOLS 1-10, CONFERENCE RECORD, 2001, : 2901 - 2906
[5] Inverse renewal thinning of Cox and renewal processes
Teke, S. P.
Deshmukh, S. R.
STATISTICS & PROBABILITY LETTERS, 2008, 78 (16) : 2705 - 2708
[6] ON THE CUMULANTS OF RENEWAL PROCESSES
SMITH, WL
BIOMETRIKA, 1959, 46 (1-2) : 1 - 29
[7] FRACTAL RENEWAL PROCESSES
LOWEN, SB
TEICH, MC
IEEE TRANSACTIONS ON INFORMATION THEORY, 1993, 39 (05) : 1669 - 1671
[8] Quantum renewal processes
Bassano Vacchini
Scientific Reports, 10
[9] STATIONARY RENEWAL PROCESSES
KLIMOV, GP
APPLIED MATHEMATICS LETTERS, 1992, 5 (01) : 63 - 66
[10] ON THE SUPERPOSITION OF RENEWAL PROCESSES
COX, DR
SMITH, WL
BIOMETRIKA, 1954, 41 (1-2) : 91 - 99

← 1 2 3 4 5 →