Mahdi Alimohammadi

Mahdi Alimohammadi
Alzahra University · Department of Statistics

Assistant Professor of Statistics
Research & Teaching

About

10
Publications
530
Reads
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37
Citations
Education
September 2003 - February 2016
University of Isfahan
Field of study
  • Statistics

Publications

Publications (10)
Article
Because of the importance of ordered random variables and, in general, generalized order statistics (GOSs), in many branches of Statistics, a wide interest has been shown in investigating unimodality and strong unimodality of such random variables. Assuming certain restrictions on the model parameters and distributions, some authors have shown unim...
Article
Full-text available
Unimodality and strong unimodality of the distribution of ascendingly ordered random variables have been extensively studied in the literature, whereas these properties have not received much attention in the case of descendingly ordered random variates. In this paper, we show that log concavity of the reversed hazard rate implies that of the densi...
Article
In this article,we obtain some basic and useful results and showthat, similar to the continuous case, discrete logconcavity of a probability mass function (pmf) implies logconcavity of its cumulative distribution (cdf) and survival functions (sf). As an application, we shall show that discrete logconcave distributions are IFR (increasing failure ra...
Article
We prove that some results claimed for the dispersive ordering are not valid and provide some contributions in this direction. Then, we revisit the dispersive ordering of order statistics from IRHR distributions. Several extensions to generalized order statistics are obtained.
Article
Full-text available
In this article, we compare generalized order statistics in terms of increasing convex, mean residual life, hazard rate and reversed hazard rate orderings and establish some general results, including resolving an open problem. Some counterexamples are also provided for the cases wherein the results are not valid in general. Finally, some new appli...
Article
Due to the importance of generalized order statistics (GOS) in many branches of Statistics, a wide interest has been shown in investigating stochastic comparisons of GOS. In this article, we study the likelihood ratio ordering of $p$ -spacings of GOS, establishing some flexible and applicable results. We also settle certain unresolved related probl...
Method
Full-text available
This result (from Esna-Ashari et al. 2020) for two three-variable functions could be used not only in Statistics and Probability, but also in Engineering, pure and applied Mathematics and Physics. It also could be used for the functions with fewer variables by considering some variables as constants.
Article
In this article, we first study the likelihood ratio ordering of generalized order statistics (GOS) in both one-sample and two-sample problems. Then, we establish the transmission of the increasing hazard rate and decreasing reversed hazard rate aging properties of GOS. To do this, we extend Karlin’s basic composition theorem for the functions of t...
Article
In this article,we obtain some basic and useful results and showthat, similar to the continuous case, discrete logconcavity of a probability mass function (pmf) implies logconcavity of its cumulative distribution (cdf) and survival functions (sf). As an application, we shall show that discrete logconcave distributions are IFR (increasing failure ra...

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