Research Communicate | 18-March-2020
The Weibull distribution is used to describe various observed failures of phenomena and widely used in survival analysis and reliability theory. Sometimes it is very difficult to compute moments of such distributions due to various reasons for e.g. analytical issues, multi parameter cases etc. This study presents the computation of the moments and the expected value of the product of order statistics in the sample from the one-parameter Weibull distribution. An alternative approach in
Piyush Kant Rai,
Anu Sirohi
Statistics in Transition New Series, Volume 21 , ISSUE 1, 169β178
Article | 15-March-2019
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, 597β620
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, 651β668
Research Article | 04-September-2019
In this paper, we have considered the generalized Pareto distribution. Various structural properties of the distribution are derived including (quantile function, explicit expressions for moments, mean deviation, Bonferroni and Lorenz curves and Renyi entropy). We have provided simple explicit expressions and recurrence relations for single and product moments of generalized order statistics from the generalized Pareto distribution. The method of maximum likelihood is adopted for estimating the
Mansoor Rashid Malik,
Devendra Kumar
Statistics in Transition New Series, Volume 20 , ISSUE 3, 57β79
Research Article | 08-December-2021
In this paper, we establish several recurrence relations between single and product moments of progressively Type-II right censored order statistics from the power Lomax distribution. The relations enable the computation of all the single and product moments of progressively Type-II right censored order statistics for all sample sizes π and all censoring schemes (π
1, π
2,…,π
π), π≤π, in a simple recursive manner. The maximum likelihood approach is used for the estimation of the
Jagdish Saran,
Narinder Pushkarna,
Shikha Sehgal
Statistics in Transition New Series, Volume 22 , ISSUE 4, 191β212
Article | 06-July-2017
derived for the moments, moment generating function, entropy, mean deviation, Bonferroni and Lorenz curves, and formulated moments for order statistics. The ππΎπ€ distribution parameters are estimated by using the method of maximum likelihood. Monte Carlo simulation is performed in order to investigate the performance of MLEs. The flood data and HIV/ AIDS data applications illustrate the usefulness of the proposed model.
Muhammad Shuaib Khan,
Robert King,
Irene Lena Hudson
Statistics in Transition New Series, Volume 17 , ISSUE 2, 183β210
Research Article | 01-June-2020
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, Volume 21 , ISSUE 2, 119β141
Article | 05-September-2021
Syed Abdul Rehman,
Javid Shabbir
Statistics in Transition New Series, Volume 22 , ISSUE 3, 193β205
Article | 09-April-2018
Blind signal extraction is particularly attractive to solve signal mixture problems while only one or a few source signals are desired. Many desired biomedical signals exhibit distinct periods. A sequential method based on second order statistics is introduced in this paper. One can choose to recover one source signal or all signals in a specific order. The validity and performance of the proposed method are confirmed by computer simulations.
Yongjian Zhao,
Haining Jiang,
Bin Jiang,
Meixia Qu
International Journal of Advanced Network, Monitoring and Controls, Volume 2 , ISSUE 4, 61β65
Research Article | 27-May-2018
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, Volume 19 , ISSUE 1, 61β74
Article | 20-September-2020
A new distribution called Generalized Odd Fréchet (GOF) distribution is presented and its properties explored. Some structural properties of the proposed distribution, including the shapes of the hazard rate function, moments, conditional moments, moment generating function, skewness, and kurtosis are presented. Mean deviations, Lorenz and Bonferroni curves, Rényi entropy, and the distribution of order statistics are given. The maximum likelihood estimation technique is used to
Shahdie Marganpoor,
Vahid Ranjbar,
Morad Alizadeh,
Kamel Abdollahnezhad
Statistics in Transition New Series, Volume 21 , ISSUE 3, 109β128
Research Article | 08-December-2021
The paper focuses on type II Topp-Leone Frechet distribution. Its properties including hazard rate function, reverse hazard rate function, Mills ratio, quantile function and order statistics have been studied. The maximum likelihood estimation used for estimating the parameters of the proposed distribution has been explained and expressions for the Fisher information matrix and confidence intervals have been provided. The paper discusses the applications of the distribution for modeling several
Rama Shanker,
Umme Habibah Rahman
Statistics in Transition New Series, Volume 22 , ISSUE 4, 139β152
Article | 06-July-2017
Estimation of the population mean in a finite and fixed population on the basis of the conditional simple random sampling design dependent on order statistics (quantiles) of an auxiliary variable is considered. Properties of the well-known Horvitz-Thompson and ratio type estimators as well as the sample mean are taken into account under the conditional simple random sampling designs. The considered examples of empirical analysis lead to the conclusion that under some additional conditions the
Janusz WywiaΕ
Statistics in Transition New Series, Volume 17 , ISSUE 3, 411β428
Research Article | 01-June-2020
In this paper we propose and test a composite generalizer of the Lomax distribution .The genesis of the beta distribution and transmuted map is used to develop the so-called beta transmuted Lomax (BTL) distribution. The properties of the distribution are discussed and explicit expressions are derived for the moments, mean deviations, quantiles, distribution of order statistics and reliability. The maximum likelihood method is used for estimating the model parameters, and the ο¬nite sample
Ahmed Hurairah,
Abdelhakim Alabid
Statistics in Transition New Series, Volume 21 , ISSUE 2, 13β34
Article | 06-July-2017
In the paper selected nonparametric and semiparametric estimation methods of higher orders quantiles are considered. The construction of nonparametric confidence intervals is based on order statistics of appropriate ranks from random samples or from generated bootstrap samples. Semiparametric bootstrap methods are characterized by double bootstrap simulations. The values of bootstrap sample below the prearranged threshold are generated by the empirical distribution and the values above this
Dorota Pekasiewicz
Statistics in Transition New Series, Volume 17 , ISSUE 4, 737β748
Article | 20-September-2020
parameters, and finally order statistics. Moreover, plots of the density and distribution functions of PSBTPAD are presented and a reliability analysis is considered. The Rényi entropy of PSBTPAD is proved and the application of real data is discussed. Mathematics Subject Classification: 62E10, 62F15.
Khaldoon Alhyasat,
Ibrahim Kamarulzaman,
Amer Ibrahim Al-Omari,
Mohd Aftar Abu Bakar
Statistics in Transition New Series, Volume 21 , ISSUE 3, 73β91
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, 17β40
Article | 01-June-2015
encoding scheme and derive the probability density function (PDF) of Frobenius norm of column vector of the channel matrix. Using the known PDF we can derive the joint PDF of order statistics channel for the subset {i, j}. Assuming that the transmitted signals employ Mary phase-shift keying (MPSK) constellation, we consider the impact of imperfect antenna selection subsets on systemΒ performance, and explicitly derive a closed-form BER expression of Chernoff upper bounds (CUB). For two special cases
Mingjie Zhuang
International Journal on Smart Sensing and Intelligent Systems, Volume 8 , ISSUE 2, 1333β1353