Journal of the Indian Society for Probability and Statistics
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A Discrete Version of the Half-Logistic Distribution Based on the Mimicking of the Probability Density Function
Journal of the Indian Society for Probability and Statistics - - 2024
We introduce a count distribution obtained as a discrete analogue of the continuous half-logistic distribution. It is derived by assigning to each non-negative integer value a probability proportional to the corresponding value of the density function of the parent model. The main features of this new distribution, in particular related to its shape, moments, and reliability properties, are descri...... hiện toàn bộ
Binominal Mixture Lindley Distribution: Properties and Applications
Journal of the Indian Society for Probability and Statistics - Tập 21 - Trang 437-469 - 2020
In this paper, we introduce a generalized mixture distribution, so-called the binomial mixture Lindley distribution (BMLD). The density function of this distribution is obtained by mixing binomial probabilities with gamma distribution. BMLD have various distributions as its special cases and posses various shapes for its hazard rate function including increasing, decreasing, bathtub shape and upsi...... hiện toàn bộ
A New Modified Alpha Power Weibull Distribution: Properties, Parameter Estimation and Application
Journal of the Indian Society for Probability and Statistics - Tập 22 - Trang 417-449 - 2021
A new lifetime distribution called alpha power modified Weibull (APMW) distribution based on the alpha power transformation method has been studied. Various statistical properties of the newly developed distribution including quantiles, moments, stress-strength parameter, Bonferroni and Lorentz curve, residual and reversed residual lifetime function, stress-strength parameter, entropy and order st...... hiện toàn bộ
Fitting Length of Stay by Multi Stage Classification of Covariates Using Transformed Gamma–Pareto Distribution
Journal of the Indian Society for Probability and Statistics - Tập 20 Số 1 - Trang 141-156 - 2019
Shared Gamma Frailty Models Based on Additive Hazards
Journal of the Indian Society for Probability and Statistics - Tập 17 Số 2 - Trang 161-184 - 2016
C.R. Rao’s Influence on Theory and Practice of Sample Surveys
Journal of the Indian Society for Probability and Statistics - Tập 21 - Trang 123-134 - 2020
Prof. C. R. Rao’s Birth Centenary is being celebrated by statistical communities all over the world from 10 September 2019. In this paper, we shall present a brief biographical sketch of the living legend C. R. Rao and discuss some of his contributions in the areas of theory and practice of sample surveys which have resulted in certain important aspects.
On the Average Number of Real Zeros of a Random Trigonometric Polynomial
Journal of the Indian Society for Probability and Statistics - Tập 20 - Trang 109-116 - 2018
This work emphasizes the special role played by semi-stable distribution which is the generalization of the stable distribution. Here
$$a_0,~ a _1,\ldots ,a_n$$
be a sequence of mutually independent random variables following semi-stable distribu...... hiện toàn bộ
Functional L.I.L. for the Upper Extremes of i.i.d. Random Variarbles from a Sub-class of Heavy Tailed Distributions
Journal of the Indian Society for Probability and Statistics - Tập 22 Số 2 - Trang 357-373 - 2021
Generalized X-Exponential Bathtub Shaped Failure Rate Distribution
Journal of the Indian Society for Probability and Statistics - Tập 20 - Trang 157-171 - 2019
Generalized Lindley, Generalized Gamma, Exponentiated Weibull and X-Exponential distributions are proposed for modelling lifetime data having bathtub shaped failure rate model. These distributions have several desirable properties. In this paper, we introduce a new distribution which generalizes the X-Exponential distribution. Several properties of the distribution are derived including the hazard...... hiện toàn bộ
On the Alpha Power Transformed Power Inverse Lindley Distribution
Journal of the Indian Society for Probability and Statistics - Tập 21 - Trang 201-224 - 2020
In this paper, we introduce a new generalization of the power inverse Lindley distribution referred to as the alpha power transformed power inverse Lindley (APTPIL). The APTPIL model provides a better fit than the power inverse Lindley distribution. It includes the alpha power transformed inverse Lindley, power inverse Lindley and inverse Lindley as special sub models. Various properties of the AP...... hiện toàn bộ
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