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Some new results on stochastic comparisons of parallel systems

- Baha-Eldin Khaledi, S. Kochar
- MathematicsJournal 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

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

Stochastic comparisons of parallel systems of heterogeneous exponential components

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

Stochastic comparisons of order statistics in the scale model

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

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

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

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

Weibull distribution: Some stochastic comparisons results

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

Comparisons of Parallel Systems According to the Convex Transform Order

- S. Kochar, Maochao Xu
- MathematicsJournal of Applied Probability
- 1 June 2009

A parallel system with heterogeneous exponential component lifetimes is shown to be more skewed (according to the convex transform order) than the system with independent and identically distributed… Expand

On tail-ordering and comparison of failure rates

- Isha Bagai, S. Kochar
- Mathematics
- 1986

In this paper, we have studied some implications between tail-ordering (also known as dispersive ordering) and failure rate ordering (also called TP2 ordering) of two probability distribution… Expand

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