On some reliability measures and their stochastic orderings for the Topp–Leone distribution

By Mohamed E. Ghitany, Samuel Kotz, Min Xie. 2005

90 citations recorded by the source corpus.

Subfields: Demography, Management Science and Operations Research, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/9cddf66563d732208c864b4fa2444ed054c37f22

How researchers see this paper

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

In Demography

1. G. Hamedani
2. Saralees Nadarajah
3. Ali I. Genç
4. Haitham M. Yousof

In Management Science and Operations Research

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

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

• 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 [”
• 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, 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 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.”
• Estimation of P(X>Y) with Topp–Leone distribution (2013, background): “[16] studied some reliability measures of the distribution such as the hazard rate, mean residual life, reversed hazard rate, expected inactivity time and their stochastic orderings.”