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The life sciences have become increasingly quantitative as new technologies facilitate collection and analysis of vast amounts of data ranging from complete genomic sequences of organisms to satellite...
A goodness of fit approach to monotone variance residual life class of life distributions
DVRL (IVRL) class of life distribution exponentiality
2010/9/13
Based on the goodness of fit approach, a new test is presented for testing exponentiality versus decreasing (increasing) variance remaining life distribution DVRL (IVRL). The percentiles of these test...
Nonparametric test for class of of life distributions
Life distribution RNBRUE U-statistic
2010/9/15
The renewal new is better than renewal used in expectation (RNBRUE) class of life distributions is derived.This class is defined based on comparing random residual life at a certain age and its equili...
On some properties of life distributions with increasing elasticity and log-concavity
Life distributions Log-concavity Closure property
2010/9/14
The purpose of this paper is to extend and systematize known results in log-concave and log-convex properties of life distributions. Also, to discuss the closure property of increasing generalized fai...
On inequalities and exponential approximations for residual life reliability functions
Stochastic inequalities Stochastic order Weighted reliability functions
2010/9/14
Given that a unit is of age t, the remaining life after time t is random. The expected value of this random residual life is called the mean residual life at time t. Specifically, if T is the life of ...
Testing decreasing (increasing) variance residual class of life distributions using kernel method
Kernel method DVRL IVRL Efficiency
2010/9/15
The decreasing (increasing) variance residual life DVRL (IVRL) class of life distribuation is well known and extensively studied in the literature. A new test is presented for testing exponentiality a...
The Laplace order and ordering of reversed residual life
Laplace transform order Laplace transform order of reversed residual life
2010/9/15
The purpose of this paper is to study new stochastic comparisons based on the Laplace transform order of reversed residual life. Some basic properties of the new order are given. We also provide sever...
Some results of the NBUL class of life distributions
Life distributions NBUL aging class characterization of life distributions
2010/9/15
In this paper, the new better than used in the Laplace transform order (NBUL) aging class is studied further. This class is defined based on comparing the residual life time to the whole life in the L...
Y, where X and Y are non-negative random variables. We establish a number of stochastic comparison properties for XY under various assumptions of X and Y. Under the assump.