Research Article | 22-January-2018
In this paper, we establish some new recurrence relations for the single and product moments of progressively Type-II right censored order statistics from the Erlangtruncated exponential distribution. These relations generalize those established by Aggarwala and Balakrishnan (1996) for standard exponential distribution. These recurrence relations enable computation of mean, variances and covariances of all progressively Type-II right censored order statistics for all sample sizes in a simple
Mansoor Rashid Malik,
Devendra Kumar
Statistics in Transition New Series, Volume 18 , ISSUE 4, 651–668
Article | 05-September-2021
The article presents a new probability distribution, created by compounding the Poisson distribution with the weighted exponential distribution. Important mathematical and statistical properties of the distribution have been derived and discussed. The paper describes the proposed model’s parameter estimation, performed by means of the maximum likelihood method. Finally, real data sets are analyzed to verify the suitability of the proposed distribution in modeling count data sets
Showkat Ahmad Dar,
Anwar Hassan,
Ahmad Para Bilal,
Sameer Ahmad Wani
Statistics in Transition New Series, Volume 22 , ISSUE 3, 157–174
Research Article | 27-May-2018
Lahsen Bouchahed,
Halim Zeghdoudi
Statistics in Transition New Series, Volume 19 , ISSUE 1, 61–74
Article | 20-September-2020
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 | 24-August-2017
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 | 22-July-2019
Raed r. . Abu Awwad
Statistics in Transition New Series, Volume 20 , ISSUE 2, 1–14
Article | 20-December-2020
In this paper, we introduce a new family of univariate continuous distributions called the Gamma Kumaraswamy-generated family of distributions. Most of its properties are studied in detail, including skewness, kurtosis, analytical comportments of the main functions, moments, stochastic ordering and order statistics. The next part of the paper focuses on a particular member of the family with four parameters, called the gamma Kumaraswamy exponential distribution. Among its advantages, the
Rana Muhammad Imran Arshad,
Muhammad Hussain Tahir,
Christophe Chesneau,
Farrukh Jamal
Statistics in Transition New Series, Volume 21 , ISSUE 5, 17–40