A new class of weighted exponential distributions

By Rameshwar D. Gupta, Debasis Kundu. 2009

230 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/504f517f107d0c8907af370427462e217fb3cf7f

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In Statistics and Probability

Citations in the corpus

Weighted exponential distribution: properties and different methods of estimation (2015, methodology): “Recently, Gupta and Kundu [1] introduced a new class of Weighted Exponential (WE) distribution as a generalization of the standard exponential distribution.”
A New Extension of Generalized Exponential Distribution with Application to Ozone Data (2017, background): “If FðxÞ is an absolute continuous distribution function with the probability density function (pdf) f ðxÞ, then FAPTðxÞ is also an absolute continuous distribution function with the pdf: fATPðxÞ ¼ log αf ðxÞαFðxÞ ðα 1Þ if α > 0; α 1 f ðxÞ if α ¼ 1: ( ½1 It is clear that for α 1, fAPTðxÞ is a weighte”
A new discrete distribution (2014, unknown): “The data set is taken from [62].”
A new method for generating distributions with an application to exponential distribution (2017, unknown): “For comparison purposes, we have fitted four other two-parameter models Gamma, Weibull, exponentiated exponential (EE) (see for example Gupta et al., 1998 or Gupta and Kundu, 1999), and weighted exponential (WE) (proposed by Gupta and Kundu, 2009) distributions to the same dataset.”
Alpha-Power Transformed Lindley Distribution: Properties and Associated Inference with Application to Earthquake Data (2019, background): “(2) Thus, fAPT (x) can be written as fAPT (x) = w(x;α) f(x) E(w(x;α)) (3) where w(x;α) is non-negative and E[w(x;α)] = ∫ ∞ −∞ w((x;α) f(x)dx <∞ (4) Applications of a weighted distribution to biased samples in various areas including medicine, ecology, reliability, and branching processes can be seen”