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Limiting Properties of the Mean Residual Lifetime Function
Limiting Properties of the Mean Residual Lifetime Function,10.1214/aoms/1177692731,The Annals of Mathematical Statistics,Isaac Meilijson
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Limiting Properties of the Mean Residual Lifetime Function
(
Citations: 13
)
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Isaac Meilijson
Journal:
The Annals of Mathematical Statistics
, vol. 43, no. 1972, pp. 354357, 1972
DOI:
10.1214/aoms/1177692731
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Citation Context
(4)
...
Meilijson (1972)
also proves that P T −t µ(t) > xT > t → exp(−x) when t →∞ , but under indirect, less practical technical conditions that there exists a positive, nondecreasing function ϕ such that ϕ(t)/t ↓ 0 and µ(t)/ϕ(t) → 1ast →∞ . These conditions, for example, do not cover (in general) our case of increasing hazard...
Dragan Banjevic
.
Remaining useful life in theory and practice
...Limiting properties of the mean residual life have been studied by Meilijson [
4
], Balkema and de Hann [5], and more recently by Bradley and Gupta [6]...
Ramesh C. Gupta
,
et al.
Representing the mean residual life in terms of the failure rate
...
Meilijson (1972)
has studied certain limiting properties of the mean residual life...
David M. Bradley
,
et al.
Limiting behaviour of the mean residual life
...E(X x I X >_ x) or the function E(X I X >_ x) can be seen in Cox (1962),
Meilijson (1972)
, Swartz (1973), Laurent (1974), Vartak (1974), Gupta (1975), Galambos and Kotz (1978), Gupta (1979), Hall and Wellner (1981) and Kupka and Loo (1989)...
J. M. Ruiz
,
et al.
Characterizations based on conditional expectations of the doubled tru...
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Citations
(13)
Remaining useful life in theory and practice
(
Citations: 3
)
Dragan Banjevic
Journal:
Metrika
, vol. 69, no. 2, pp. 337349, 2009
Survival as a Function of Life Expectancy
Maxim Finkelstein
,
James W. Vaupel
Journal:
Demographic Research  DEMOGR RES
, vol. 21, pp. 879884, 2009
On the residual lifelengths of the remaining components in an n − k + 1 out of n system
(
Citations: 10
)
Ismihan Bairamov
,
Barry C. Arnold
Journal:
Statistics & Probability Letters  STAT PROBAB LETT
, vol. 78, no. 8, pp. 945952, 2008
Identification of models using failure rate and mean residual life of doubly truncated random variables
(
Citations: 2
)
P. G. Sankaran
,
S. M. Sunoj
Journal:
Statistical Papers  STAT PAP
, vol. 45, no. 1, pp. 97109, 2004
Representing the mean residual life in terms of the failure rate
(
Citations: 6
)
Ramesh C. Gupta
,
David M. Bradley
Journal:
Mathematical and Computer Modelling  MATH COMPUT MODELLING
, vol. 37, no. 12, pp. 12711280, 2003