SOME MONOTONICITY PROPERTIES OF THE DELAYED RENEWAL FUNCTION

被引：14

作者：

HANSEN, BG

FRENK, JBG

机构：

[1] ERASMUS UNIV,INST ECONOMETR,3000 DR ROTTERDAM,NETHERLANDS

[2] UNIV GOTTINGEN,W-3400 GOTTINGEN,GERMANY

来源：

JOURNAL OF APPLIED PROBABILITY | 1991年 / 28卷 / 04期

关键词：

DFR; IMR; NWU; LOG-CONVEX;

D O I：

10.2307/3214684

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：

Analogues of some theorems of Brown (1980) concerning renewal measures with DFR or IMRL underlying distributions are proved for delayed renewal measures. Some related results, such as partial converses of the main theorems, are also presented.

引用

页码：811 / 821

页数：11

共 12 条

[1]

BARLOW RE, 1975, STATISTICAL THEORY R

[2]

BARLOW RE, 1965, MATH THEORY RELIABIL

[3] BOUNDS, INEQUALITIES, AND MONOTONICITY PROPERTIES FOR SOME SPECIALIZED RENEWAL PROCESSES [J].

BROWN, M .

ANNALS OF PROBABILITY, 1980, 8 (02) :227-240

[4] FURTHER MONOTONICITY PROPERTIES FOR SPECIALIZED RENEWAL PROCESSES [J].

BROWN, M .

ANNALS OF PROBABILITY, 1981, 9 (05) :891-895

[5]

BRUIJN NC, 1953, J RES NBS, V50, P161

[6]

Feller W., 1972, INTRO PROBABILITY TH, VII

[7]

Feller W., 1968, INTRO PROBABILITY TH, V1st

[8] ON LOG-CONCAVE AND LOG-CONVEX INFINITELY DIVISIBLE SEQUENCES AND DENSITIES [J].

HANSEN, BG .

ANNALS OF PROBABILITY, 1988, 16 (04) :1832-1839

[9] On reciprocal coefficient power series [J].

Kaluza, T .

MATHEMATISCHE ZEITSCHRIFT, 1928, 28 :161-170

[10]

KINGMAN JFC, 1972, REGENERATIVE PHENOME

← 1 2 →