Moments of Dual Generalized Order Statistics from Topp Leone Weighted Weibull Distribution and Characterization
Tóm tắt
In this paper, we obtain exact explicit expressions as well as several recurrence relations satisfied by single and product moments of dual (lower) generalized order statistics from Topp-Leone weighted Weibull distribution. These relations are deduced for moments of order statistics and lower record values. Further, these recurrence relations and other properties of dual generalized order statistics are used to characterize this distribution.
Tài liệu tham khảo
Abbas S, Ozal G, Shahbaz SH, Shahbaz MQ (2019) A new generalized weighted Weibull distribution. Pak J Stat Oper Res 15:161–178
Nasiru S (2015) Another weighted Weibull distribution from Azzalini’s family. Eur Sci J 11:134–144
Azzalini A (1985) A class of distributions which includes the normal ones. Scand J Stat 12:171–178
Pawlas P, Szynal D (2001) Recurrence relations for single and product moments of lower generalized order statistics from the inverse Weibull distributions. Demonstratio Math, XXXIV, pp 353–358
Burkschat M, Cramer E, Kamps U (2003) Dual generalized order statistics. Metron, LXI, pp 13–26
Nadaraja S, Pal M (2008) Explicit expressions for moments of gamma order statistics. Bull Braz Math Soc (NS) 39:45–60
Yang HC, Alouini MS (2011) Order statistics in wireless communications: diversity, adaptation and scheduling in MIMO and OFDM systems. Cambridge University Press, USA
Tunaru R (2012) Applications of order statistics to risk management problems. Encyclopedia Financ Mod. https://doi.org/10.1002/9781118182635.efm0104
Aryal GR, Pokhrel KP, Khanal N, Tsokos CP (2019) Reliability models using the composite generalizers of Weibull distribution. Ann Data Sci 6:807–829
Hassan AS, Nassr SG, Pramanik S, Maiti SS (2020) Estimation in constant stress partially accelerated life tests for Weibull distribution based on censored competing risks data. Ann Data Sci 7:45–62
Ahsanullah M (2004) A characterization of the uniform distribution by dual generalized order statistics. Commun Statist Theory Methods 33:2921–2928
Ahsanullah M (2005) On lower generalized order statistics and a characterization of power function distribution. Stat Methods 7:16–28
Mbah AK, Ahsanullah M (2007) Some characterization of the power function distribution based on lower generalized order statistics. Pak J Stat 23:139–146
Athar H, Khan RU, Anwar Z (2010) Exact moments of lower generalized order statistics from power function distribution. Calcutta Stat Assoc Bull 62:245–246
Khan AH, Anwar Z, Chisti S (2010) Characterization of continuous distributions through conditional expectation of functions of dual generalized order statistics. Pak J Stat 26:615–628
Khan RU, Kumar D (2010) On moments of lower generalized order statistics from exponentiated Pareto distribution and its characterization. Appl Math Sci 4:2711–2722
Khan RU, Kumar D (2011) Expectation identities of lower generalized order statistics from generalized exponential distribution and a characterization. Math Methods Stat 20:150–157
Khan RU, Zia B, Kumar D (2014) Relations for single and joint moment generating functions of lower generalized order statistics from generalized exponential distribution. ProbStat Forum 7:85–97
Khan RU, Khan MA (2015) Dual generalized order statistics from family of shaped distribution and its characterization. J King Saud Univ-Sci 27:285–291
Khan MAR, Khan RU, Singh B (2019) Moments of dual generalized order statistics from two parameters kappa distribution and characterization. J Appl Probab Stat 14:85–101
Balakrishnan N, Cohen AC (1991) Order Statistics and Inference: Estimation Methods. Academic Press, San Diego
Ruiz SM (1996) An algebraic identity leading to Wilson’s theorem. Math Gaz 80:579–582
David HA, Nagaraja HN (2003) Order statistics. Wiley, New York
Khan RU, Anwar Z, Athar H (2008) Recurrence relations for single and product moments of dual generalized order statistics from exponentiated Weibull distribution. Aligarh J Stat 28:37–45
Khan RU, Kulshrestha A, Kumar D (2012) Lower generalized order statistics of generalized exponential distribution. J Stat Appl Probab 1:101–113
Hwang JS, Lin GD (1984) On a generalized moments problem II. Proc Am Math Soc 91:577–580
