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  • Statistics In Transition

 

Article | 15-March-2019

EXTENDED EXPONENTIATED POWER LINDLEY DISTRIBUTION

In this study, we introduce a new model called the Extended Exponentiated Power Lindley distribution which extends the Lindley distribution and has increasing, bathtub and upside down shapes for the hazard rate function. It also includes the power Lindley distribution as a special case. Several statistical properties of the distribution are explored, such as the density, hazard rate, survival, quantile functions, and moments. Estimation using the maximum likelihood method and inference on a

V. Ranjbar, M. Alizadeh, G. G. Hademani

Statistics in Transition New Series, Volume 19 , ISSUE 4, 621–643

Research Article | 01-June-2020

A comparison study on a new five-parameter generalized Lindley distribution with its sub-models

In recent years, modifications of the classical Lindley distribution have been considered by many authors. In this paper, we introduce a new generalization of the Lindley distribution based on a mixture of exponential and gamma distributions with different mixing proportions and compare its performance with its sub-models. The new distribution accommodates the classical Lindley, Quasi Lindley, Two-parameter Lindley, Shanker, Lindley distribution with location parameter, and Three-parameter

Ramajeyam Tharshan, Pushpakanthie Wijekoon

Statistics in Transition New Series, Volume 21 , ISSUE 2, 89–117

Article | 15-March-2019

ON A LESS CUMBERSOME METHOD OF ESTIMATION OF PARAMETERS OF LINDLEY DISTRIBUTION BY ORDER STATISTICS

In this article, we have derived suitable U-statistics from a sample of any size exceeding a specified integer to estimate the location and scale parameters of Lindley distribution without the evaluation of means, variances and co-variances of order statistics of an equivalent sample size arising from the corresponding standard form of distribution. The exact variances of the estimators have been also obtained.

M. R. Irshad, R. Maya

Statistics in Transition New Series, Volume 19 , ISSUE 4, 597–620

Research Article | 24-August-2017

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

In this paper a three-parameter weighted Lindley distribution, including Lindley distribution introduced by Lindley (1958), a two-parameter gamma distribution, a two-parameter weighted Lindley distribution introduced by Ghitany et al. (2011) and exponential distribution as special cases, has been suggested for modelling lifetime data from engineering and biomedical sciences. The structural properties of the distribution including moments, coefficient of variation, skewness, kurtosis and index

Rama Shanker, Kamlesh Kumar Shukla, Amarendra Mishra

Statistics in Transition New Series, Volume 18 , ISSUE 2, 291–310

Article | 15-March-2019

LINDLEY PARETO DISTRIBUTION

Halim Zeghdoudi, Lazri Nouara, Djabrane Yahia

Statistics in Transition New Series, Volume 19 , ISSUE 4, 671–692

Research Article | 27-May-2018

POWER ISHITA DISTRIBUTION AND ITS APPLICATION TO MODEL LIFETIME DATA

real lifetime data from engineering, and its goodness of fit shows better fit over two-parameter power Akash distribution (PAD), twoparameter power Lindley distribution (PLD) and one-parameter Ishita, Akash, Lindley and exponential distributions.

Kamlesh Kumar Shukla, Rama Shanker

Statistics in Transition New Series, Volume 19 , ISSUE 1, 135–148

Article | 20-September-2020

A New Quasi Sujatha Distribution

The aim of this paper is to introduce a new quasi Sujatha distribution (NQSD), of which the following are particular cases: the Sujatha distribution devised by Shanker (2016 a), the sizebiased Lindley distribution, and the exponential distribution. Its moments and momentsbased measures are derived and discussed. Statistical properties, including the hazard rate and mean residual life functions, stochastic ordering, mean deviations, Bonferroni and Lorenz curves and stress-strength reliability

Rama Shanker, Kamlesh Kumar Shukla

Statistics in Transition New Series, Volume 21 , ISSUE 3, 53–71

Research Article | 27-May-2018

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

Lahsen Bouchahed, Halim Zeghdoudi

Statistics in Transition New Series, Volume 19 , ISSUE 1, 61–74

Article | 06-July-2017

SUJATHA DISTRIBUTION AND ITS APPLICATIONS

Rama Shanker

Statistics in Transition New Series, Volume 17 , ISSUE 3, 391–410

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