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  • Statistics In Transition

 

Research Article

A NEW AND UNIFIED APPROACH IN GENERALIZING THE LINDLEY’S DISTRIBUTION WITH APPLICATIONS

This paper proposes a new family of continuous distributions with one extra shape parameter called the generalized Zeghdoudi distributions (GZD). We investigate the shapes of the density and hazard rate function. We derive explicit expressions for some of its mathematical quantities. Various statistical properties like stochastic ordering, moment method, maximum likelihood estimation, entropies and limiting distribution of extreme order statistics are established. We prove the flexibility of

Lahsen Bouchahed, Halim Zeghdoudi

Statistics in Transition New Series , ISSUE 1, 61–74

Research Article

POWER ISHITA DISTRIBUTION AND ITS APPLICATION TO MODEL LIFETIME DATA

A study on two-parameter power Ishita distribution (PID), of which Ishita distribution introduced by Shanker and Shukla (2017 a) is a special case, has been carried out and its important statistical properties including shapes of the density, moments, skewness and kurtosis measures, hazard rate function, and stochastic ordering have been discussed. The maximum likelihood estimation has been discussed for estimating its parameters. An application of the distribution has been explained with a

Kamlesh Kumar Shukla, Rama Shanker

Statistics in Transition New Series , ISSUE 1, 135–148

Research Article

Statistical properties and different methods of estimation for extended weighted inverted Rayleigh distribution

The aim of this paper is to introduce a new weighted probability distribution to model the non-monotone failure rate pattern for survival data. The proposed distribution is generalized by considering inverted Rayleigh distribution as a baseline distribution called an extended weighted inverted Rayleigh distribution. Different statistical properties such as moment, quantile function, moment generating function, entropy measurement, Bonferroni and Lorenz curve, stochastic ordering and order

Abhimanyu Singh Yadav, S. K. Singh, Umesh Singh

Statistics in Transition New Series , ISSUE 2, 119–141

Article

SUJATHA DISTRIBUTION AND ITS APPLICATIONS

, stochastic ordering, mean deviations, Bonferroni and Lorenz curves, and stress-strength reliability have been discussed. Estimation of its parameter has been discussed using the method of maximum likelihood and the method of moments. The applications and goodness of fit of the distribution have been discussed with three real lifetime data sets and the fit has been compared with one-parameter lifetime distributions including Akash, Shanker, Lindley and exponential distributions.

Rama Shanker

Statistics in Transition New Series , ISSUE 3, 391–410

Research Article

A THREE-PARAMETER WEIGHTED LINDLEY DISTRIBUTION AND ITS APPLICATIONS TO MODEL SURVIVAL TIME

Rama Shanker, Kamlesh Kumar Shukla, Amarendra Mishra

Statistics in Transition New Series , ISSUE 2, 291–310

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