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Erschienen in: Annals of Data Science 6/2022

03.06.2020

A Note on Exact Moments of Order Statistics from Exponentiated Burr XII Distribution

verfasst von: Nayabuddin, M. A. Khan

Erschienen in: Annals of Data Science | Ausgabe 6/2022

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Abstract

In this paper, we establish the explicit expressions and some recurrence relations for single and product moments of order statistics from exponentiated Burr XII distribution. By using, these results we can calculate the mean and variances based on order statistics for the given distribution.

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Literatur
1.
Zurück zum Zitat Malik HJ (1966) Exact moments of order statistics from Pareto distribution, Skand. Aktuarie Tidskr 49:144–157 Malik HJ (1966) Exact moments of order statistics from Pareto distribution, Skand. Aktuarie Tidskr 49:144–157
2.
Zurück zum Zitat Malik HJ (1967) Exact moments of order statistics from a power function distribution. Skand Aktuar 50:64–68 Malik HJ (1967) Exact moments of order statistics from a power function distribution. Skand Aktuar 50:64–68
3.
Zurück zum Zitat Khan AH, Khan IA (1987) Moments of order statistics from Burr distribution and its characterizations. Metron XLV:21–29 Khan AH, Khan IA (1987) Moments of order statistics from Burr distribution and its characterizations. Metron XLV:21–29
4.
Zurück zum Zitat Khan AH, Ali MA (1995) Ratio and inverse moments of order statistics from Burr distribution. J Ind Soc Prob Stat 2:97–102 Khan AH, Ali MA (1995) Ratio and inverse moments of order statistics from Burr distribution. J Ind Soc Prob Stat 2:97–102
5.
Zurück zum Zitat Ali MA, Khan AH (1996) Ratio and inverse moments of order statistics from Weibull and exponential distribution. J Appl Stat Sci 4(1):1–7 Ali MA, Khan AH (1996) Ratio and inverse moments of order statistics from Weibull and exponential distribution. J Appl Stat Sci 4(1):1–7
6.
Zurück zum Zitat Thomas PY, Samuel P (2008) Recurrence relations for the moments of order statistics from a beta distribution. Stat Pap 49:139–146CrossRef Thomas PY, Samuel P (2008) Recurrence relations for the moments of order statistics from a beta distribution. Stat Pap 49:139–146CrossRef
7.
Zurück zum Zitat Genc A (2012) Moments of order statistics of Topp–Leone distribution. Stat Pap 53:117–131CrossRef Genc A (2012) Moments of order statistics of Topp–Leone distribution. Stat Pap 53:117–131CrossRef
8.
Zurück zum Zitat Balakrishnan N, Zhu X, Al-Zaharani B (2015) Recursive computation of the single and product moments of order statistics for the complementary exponential–geometric distribution. J Stat Comput Simul 85:2187–220CrossRef Balakrishnan N, Zhu X, Al-Zaharani B (2015) Recursive computation of the single and product moments of order statistics for the complementary exponential–geometric distribution. J Stat Comput Simul 85:2187–220CrossRef
9.
Zurück zum Zitat Kumar D, Dey S (2017) Power generalized Weibull distribution based on order statistics. J Stat Res 51:61–78CrossRef Kumar D, Dey S (2017) Power generalized Weibull distribution based on order statistics. J Stat Res 51:61–78CrossRef
10.
Zurück zum Zitat Kumar D, Goyal A (2019) Order statistics from the power lindley distribution and associated inference with application. Ann Data Sci 6:153–177CrossRef Kumar D, Goyal A (2019) Order statistics from the power lindley distribution and associated inference with application. Ann Data Sci 6:153–177CrossRef
11.
12.
Zurück zum Zitat Ali MA, Khan AH (1997) Recurrence relations for expectations of a function of single order statistic from a general class of distributions. J Indian Stat Assoc 35:1–9 Ali MA, Khan AH (1997) Recurrence relations for expectations of a function of single order statistic from a general class of distributions. J Indian Stat Assoc 35:1–9
13.
Zurück zum Zitat Mathai AM, Saxena RK (1973) Generalized hyper-geometric functions with applications in statistics and physical science, vol 348. Lecture Notes in Mathematics. Springer, BerlinCrossRef Mathai AM, Saxena RK (1973) Generalized hyper-geometric functions with applications in statistics and physical science, vol 348. Lecture Notes in Mathematics. Springer, BerlinCrossRef
14.
Zurück zum Zitat Gradshteyn IS, Ryzhik IM (2007) In: Jefrey A, Zwillinger D (eds) Tables of integrals, series and products, 7th edn. Academic Press, New York Gradshteyn IS, Ryzhik IM (2007) In: Jefrey A, Zwillinger D (eds) Tables of integrals, series and products, 7th edn. Academic Press, New York
15.
Zurück zum Zitat Prudnikov AP, Brychkov YA, Marichev OI (1986) Elementry functions, vol 1. Integral and series. Goron and Breach Science Publishers, Amsterdam Prudnikov AP, Brychkov YA, Marichev OI (1986) Elementry functions, vol 1. Integral and series. Goron and Breach Science Publishers, Amsterdam
16.
Zurück zum Zitat Ali MA, Khan AH (1998) Recurrence relations for expected values of certain functions of two order statistics. Metron LVI:107–119 Ali MA, Khan AH (1998) Recurrence relations for expected values of certain functions of two order statistics. Metron LVI:107–119
Metadaten
Titel
A Note on Exact Moments of Order Statistics from Exponentiated Burr XII Distribution
verfasst von
Nayabuddin
M. A. Khan
Publikationsdatum
03.06.2020
Verlag
Springer Berlin Heidelberg
Erschienen in
Annals of Data Science / Ausgabe 6/2022
Print ISSN: 2198-5804
Elektronische ISSN: 2198-5812
DOI
https://doi.org/10.1007/s40745-020-00276-y

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