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Some new results on stochastic comparisons of parallel systems

- Baha-Eldin Khaledi, S. Kochar
- Mathematics
- Journal of Applied Probability
- 1 December 2000

Let X 1,…,X n be independent exponential random variables with X i having hazard rate . Let Y 1,…,Y n be a random sample of size n from an exponential distribution with common hazard rate ̃λ = (∏ i=1… Expand

124 25

Stochastic comparisons of parallel systems of heterogeneous exponential components

- R. Dykstra, S. Kochar, J. Rojo
- Mathematics
- 15 December 1997

Abstract Let X1, …, Xn be independent exponential random variables with Xi having hazard rate λi, i = 1, …, n. Let λ = (λ1, …, λn). Let Y1, …, Yn be a random sample of size n from an exponential… Expand

137 16- PDF

The signature of a coherent system and its application to comparisons among systems

- S. Kochar, H. Mukerjee, F. Samaniego
- Mathematics
- 1 August 1999

Various methods and criteria for comparing coherent systems are discussed. Theoretical results are derived for comparing systems of a given order when components are assumed to have independent and… Expand

234 14- PDF

Some New Results on Stochastic Comparisons of Spacings from Heterogeneous Exponential Distributions

Some new results are obtained on stochastic orderings between random vectors of spacings from heterogeneous exponential distributions and homogeneous ones. LetD1, ?, Dnbe the normalized spacings… Expand

83 14

Stochastic comparisons of order statistics in the scale model

- Baha-Eldin Khaledi, Sepideh Farsinezhad, S. Kochar
- Mathematics
- 2011

Abstract Independent random variables X λ 1 , … , X λ n are said to belong to the scale family of distributions if X λ i ∼ F ( λ i x ) , for i=1,…,n, where F is an absolutely continuous distribution… Expand

74 14

Partial orderings of distributions based on right-spread functions

- J. M. Fernández-Ponce, S. Kochar, J. Muñoz-Pérez
- Mathematics
- 1 March 1998

In this paper we introduce a quantile dispersion measure. We use it to characterize different classes of ageing distributions. Based on the quantile dispersion measure, we propose a new partial… Expand

102 11

Weibull distribution: Some stochastic comparisons results

- Baha-Eldin Khaledi, S. Kochar
- Mathematics
- 1 September 2006

Abstract Let X 1 , … , X n be independent random variables such that X i has Weibull distribution with shape parameter α and scale parameter λ i , i = 1 , … , n . Let X 1 * , … , X n * be another set… Expand

63 10- PDF

The total time on test transform and the excess wealth stochastic orders of distributions

For nonnegative random variables X and Y we write X ≤TTT Y if ∫0 F -1(p)(1-F(x))dx ≤ ∫0 G -1(p)(1-G(x))dx all p ∈ (0,1), where F and G denote the distribution functions of X and Y respectively. The… Expand

83 9- PDF

Stochastic Orders for Spacings of Heterogeneous Exponential Random Variables

We obtain some new results on normalized spacings of independent exponential random variables with possibly different scale parameters. It is shown that the density functions of the individual… Expand

59 9

Aspects of positive ageing

- J. V. Deshpande, S. Kochar, H. Singh
- Mathematics
- 1 September 1986

On decrit plusieurs aspects du concept de vieillissement positif en termes de lois de probabilite conditionnelle des durees de vie residuelles, des taux de panne, des lois d'equilibre etc...

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