Moments of order statistics of Topp–Leone distribution

By Ali I. Genç. 2012

80 citations recorded by the source corpus.

Subfields: Artificial Intelligence, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/35174c4fb72b98811046bd390693212c545d4513

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Artificial Intelligence

1. Morad Alizadeh
2. Haitham M. Yousof
3. G. Hamedani
4. Indranil K. Ghosh
5. Gauss Moutinho Cordeiro
6. Saralees Nadarajah
7. Thiago G. Ramires
8. S. M. A. Jahanshahi

In Statistics and Probability

1. Haitham M. Yousof
2. G. Hamedani
3. Morad Alizadeh
4. Gauss Moutinho Cordeiro
5. Indranil K. Ghosh
6. Thiago G. Ramires
7. S. M. A. Jahanshahi
8. Saralees Nadarajah

Citations in the corpus

• Topp–Leone generated family of distributions: Properties and applications (2017, background): “© Taylor & Francis Group, LLC of kurtosis (Kotz and Seier, 2007); record values (Zghoul, 2011); moments of order statistics (Genc, 2012); stress–strength modeling (Genc, 2013); and Bayesian estimation under trimmed samples (Sindhu et al., 2013).”
• 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 [”
• Estimation of P(X>Y) with Topp–Leone distribution (2013, methodology): “Genç* Department of Mathematics, Nigde University, 51200 Nigde, Turkey (Received 22 November 2010; final version received 21 July 2011) We consider the estimation problem of the probability P = P(X > Y) for the standard Topp–Leone distribution.”
• Topp–Leone Family of Distributions: Some Properties and Application (2016, unknown): “(1.2) Since its emergence the distribution has been studied by number of authors, see for example Ghitany et al. (2005), van Dorp and Kotz (2006), Zhou et al. (2006), Kotz and Seier (2007), Nadarajah (2009), and Genç (2012).”
• The Transmuted Topp-Leone G Family of Distributions: Theory, Characterizations and Applications (2021, methodology): “…and ratios by (Zhou et al., 2006); behavior of kurtosis by (Kotz and Seier, 2007); record values by (Zghoul, 2011); moments of order statistics by (Genc, 2012); stress-strength modeling by (Genc, 2013); Bayesian estimation under trimmed samples by (Sindhu et al., 2013) and Censored maximum…”