Moments of some J-shaped distributions

By Saralees Nadarajah, Samuel Kotz. 2003

143 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/201ae596211d8158f9f9c61c5755f4b6deada042

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In Statistics and Probability

Citations in the corpus

The Transmuted Topp-Leone G Family of Distributions: Theory, Characterizations and Applications (2021, background): “For example: moments by (Nadarajah and Kotz, 2003); reliability measures and stochastic orderings by (Ghitany et al., 2005); distributions of sums, products and ratios by (Zhou et al., 2006); behavior of kurtosis by (Kotz and Seier, 2007); record values by (Zghoul, 2011); moments of order…”
Topp–Leone Family of Distributions: Some Properties and Application (2016, unknown): “The density and distribution function of Topp-Leone distribution is given by Nadarajah and Kotz (2003) as 112 1 2 ;0 1, 0TLf x x x x x ; (1.1) and 2 ;0 1, 0TLF x x x x .”
Topp–Leone generated family of distributions: Properties and applications (2017, background): “We mention moments (Nadarajah and Kotz, 2003); reliability measures and stochastic orderings (Ghitany et al., 2005); distributions of sums, products, and ratios (Zhou et al., 2006); behavior CONTACT Sadegh Rezaei srezaei@aut.ac.ir Department of Statistics, Amirkabir University of Technology,…”
The Topp–Leone odd log-logistic family of distributions (2017, background): “We mention some of them: moments [13], reliability measures and stochastic orderings [14], distributions of sums, products and ratios [15], behaviour of kurtosis [16], record values [17], moments of order statistics [18], stress-strength modelling [19] and Bayesian estimation under trimmed samples [”
The log-weighted exponential regression model: alternative to the beta regression model (2019, methodology): “The Topp-Leone distribution has gained much popularity after the work of Nadarajah and Kotz (2003).”
Estimation of P(X>Y) with Topp–Leone distribution (2013, background): “A bivariate generalization was given by Kotz and Nadarajah [17].”
On some reliability measures and their stochastic orderings for the Topp–Leone distribution (2005, background): “Nadarajah & Kotz (2003) derive explicit algebraic expressions for (i) the hazard rate function, (ii) the first ten row moments, and (iii) the first four central moments of the Topp–Leone distribution.”
Two-sided generalized Topp and Leone (TS-GTL) distributions (2008, methodology): “Nadarajah and Kotz [10] in a short paper derived the moment expressions for X1 for the case α = 2.”
The type II Topp-Leone generated family of distributions : Properties and applications (2018, background): “…given by ( )( ) 2 , 0 1, 0 (1.1)TLF x x x x αα α= − < < > and the probability density function (pdf) given by ( )( ) 11( ) 2 1 2 (1.2)TLf x x x x ααα −−= − − Here, FTL(x) and fTL(x) are the cdf and pdf for the Topp-Leone distribution, respectively (Nadarajah and Kotz, 2003; Topp and Leone, 1955).”