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In this paper, we introduce a new distribution generated by Lindley random variable which offers a more flexible model for modelling lifetime data. Various statistical properties like distribution function, survival function, moments,…

Applications · Statistics 2016-11-25 Deepesh Bhati , Mohd. Aamir Malik

In this article, a discrete analogue of continuous Teissier distribution is presented. Its several important distributional characteristics have been derived. The estimation of the unknown parameter has been done using the method of maximum…

Methodology · Statistics 2021-10-22 Bhupendra Singh , Varun Agiwal , Ravindra Pratap Singh , Abhishek Tyagi

In this article,a three parameter generalisation of inverse lindley distribution is obtained, with the purpose of obtaining a more flexible model relative to the behaviour of hazard rate functions. Various statistical properties such as…

Statistics Theory · Mathematics 2018-08-23 Rameesa Jan , T. R. Jan , Peer Bilal Ahmad

In this paper we study the Exponentiated Hypoexponential Distribution with different parameters. The distribution added a parameter to the n parameters of the Hypoexponenial distribution. We first derive a closed expression of the…

Methodology · Statistics 2023-08-03 Anass Nassabein , Therrar Kadri , Seifideen Kadry , Khaled Smaili

A discrete version of the Gumbel (Type I) extreme value distribution has been derived by using the general approach of discretization of a continuous distribution. Important distributional and reliability properties have been explored. It…

Statistics Theory · Mathematics 2014-10-29 Subrata Chakraborty , Dhrubajyoti Chakravarty

In this paper, we propose a new class of distributions by exponentiating the random variables associated with the probability density functions of composite distributions. We also derive some mathematical properties of this new class of…

Methodology · Statistics 2022-04-05 Bowen Liu , Malwane M. A. Ananda

Several probability distributions have been proposed in the literature, especially with the aim of obtaining models that are more flexible relative to the behaviors of the density and hazard rate functions. Recently, a new generalization of…

Computation · Statistics 2016-04-26 K. V. P. Barco , J. Mazucheli , V. Janeiro

There are some real life issues that are exists in nature which has early failure. This type of problems can be modelled either by a complex distribution having more than one parameter or by finite mixture of some distribution. In this…

Statistics Theory · Mathematics 2024-08-30 Brijesh P. Singh , Utpal Dhar Das , Sandeep Singh

There are given characterizations of the exponential distribution by the properties of the independence of linear forms with random coefficients. Related results based on the constancy of regression of one statistic on a linear form are…

Statistics Theory · Mathematics 2019-11-27 Lev B. Klebanov , Zeev E. Vol'kovich

A new characterization of the exponential distribution is obtained. It is based on an equation involving randomly shifted (translated) order statistics. No specific distribution is assumed for the shift random variables. The proof uses a…

Probability · Mathematics 2017-01-05 Santanu Chakraborty , George P. Yanev

In this paper, a new bivariate discrete distribution is introduced which called bivariate discrete exponentiated Weibull (BDEW) distribution. Several of its mathematical statistical properties are derived such as the joint cumulative…

Statistics Theory · Mathematics 2018-05-15 M. El- Morshedy , A. A. Khalil

In this paper we introduce a new lifetime distribution by compounding exponential and Poisson-Lindley distributions, named exponential Poisson-Lindley distribution. Several properties are derived, such as density, failure rate, mean…

Methodology · Statistics 2013-02-20 Wagner Barreto-Souza , Hassan S. Bakouch

In this paper, an alternative Discrete skew Logistic distribution is proposed, which is derived by using the general approach of discretizing a continuous distribution while retaining its survival function. The properties of the…

Methodology · Statistics 2016-04-07 Deepesh Bhati , Subrata Chakraborty , Snober Gowhar Lateef

We characterize the existence of the maximum likelihood estimator for discrete exponential families. Our criterion is simple to apply as we show in various settings, most notably for exponential models of random graphs. As an application,…

Probability · Mathematics 2021-02-23 Krzysztof Bogdan , Michał Bosy , Tomasz Skalski

The Lindley distribution and its numerous generalizations are widely used in statistical and engineering practice. Recently, a power transformation of Lindley distribution, called the power Lindley distribution, has been introduced by M. E.…

Statistics Theory · Mathematics 2019-07-02 Mohammed Khalleefah , Sofiya Ostrovska , Mehmet Turan

In this paper the maximum likelihood equations for the parameters of the Weight Lindley distribution are studied considering different types of censoring, such as, type I, type II and random censoring mechanism. A numerical simulation study…

Methodology · Statistics 2015-03-31 Pedro L. Ramos , Francisco Louzada , Vicente G. Cancho

In this paper we propose a new lifetime model, called the odd generalized exponential linear failure rate distribution. Some statistical properties of the proposed distribution such as the moments, the quantiles, the median, and the mode…

Statistics Theory · Mathematics 2015-10-28 M. A. El-Damcese , Abdelfattah Mustafa , B. S. El-Desouky , M. E. Mustafa

In this paper a new distribution is proposed. This new model provides more flexibility to modeling data with upside-down bathtub hazard rate function. A significant account of mathematical properties of the new distribution is presented.…

Statistics Theory · Mathematics 2017-11-28 Pedro L. Ramos , Francisco Louzada , Taciana K. O. Shimizu , Aline O. Luiz

We introduce the discrete distribution of a Wiener process range. Rather than finding some basic distributional properties including hazard rate function, moments, Stress-strength parameter and order statistics of this distribution, this…

Statistics Theory · Mathematics 2017-10-24 Mohamed Abd Allah El-Hadidy

We define a four-parameter extended Rayleigh distribution, and obtain several mathematical properties including a stochastic representation. We construct a regression from the new distribution. The estimation is done by maximum likelihood.…

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