Recurrence relations for higher moments of order statistics from doubly truncated Burr distribution

Authors

  • Narinder Pushkarna University of Delhi
  • Jagdish Saran University of Delhi
  • Rashmi Tiwari University of Delhi

DOI:

https://doi.org/10.6092/issn.1973-2201/4142

Keywords:

single moments, product moments, higher moments, recurrence relations, Burr distribution

Abstract

In this paper, we have obtained recurrence relations for higher moments of order statistics from doubly truncated Burr distribution, which enable one to obtain all the single, double (product) and higher moments of any order of all order statistics for any sample size from doubly truncated Burr distribution in a simple recursive manner, thus generalizing the earlier work done by Khan and Khan (1987) and also by Pushkarna, Saran and Tiwari (2012).

References

E. AFIFY (2008). Recurrence relations for inverse and ratio moments of generalized order statistics from doubly truncated generalized exponential distribution. Statistica, 68, no. 3, 365-374.

N. BALAKRISHNAN, H.J. MALIK, S.E. AHMED (1988). Recurrence relations and identities for moments of order statistics, II: Specific continuous distributions. Communications in Statistics - Theory and Methods, 17, no. 8, 2657-2694.

K. BURNECKI, J. NOWACKA-ZAGRAGEK, A. WYLOMANOKA (2004). Pure risk premiums under deductibles, Hejnice Seminar paper, Hugo Steinhans Centre, Wroclaw University of Technology, Poland.

I.W. BURR (1942). Cumulative frequency functions. Annals of Mathematical Statistics, 13, 215-232.

I.W. BURR (1968). On a General System of distributions III, The Sample Range. Journal of American Statistical Association, 63, 636-643.

I.W. BURR, P.J. CISLAK(1968). On a General System on distributions, I, Its Curve-Shape Characteristic, II, The Sample Median. Journal of American Statistical Association, 63, 627-635.

H. A. DAVID, H. N. NAGARAJA (2003). Order Statistics, Third Edition. JohnWiley.

A.H. KHAN, I.A. KHAN (1987). Moments of order statistics from Burr distribution and its characterizations. Metron, 6, 21-29.

N. PUSHKARNA, J. SARAN, R. TIWARI (2012). Recurrence relations for higher moments of order statistics from doubly truncated exponential distribution. International Mathematical Forum, 7, 193-201.

J.SARAN, A. PANDEY (2004). Estimation of parameters of a power function distribution and its characterization by kth record values. Statistica, 64, no. 3, 523-536.

J.SARAN, A. PANDEY (2008). Estimation of parameters of a two-parameter rectangular distribution and its characterization by kth record values. Statistica, 68, no. 2, 167-178.

J.SARAN, N. PUSHKARNA (2000). Relationships for moments of order statistics from a generalized exponential distribution. Statistica, 60, no. 2, 585-595.

P.R. TADIKAMALLA (1980).A look at the Burr and related distributions. International Statistical Review, 48, 337-344.

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Published

2013-03-30

How to Cite

Pushkarna, N., Saran, J., & Tiwari, R. (2013). Recurrence relations for higher moments of order statistics from doubly truncated Burr distribution. Statistica, 73(2), 253–265. https://doi.org/10.6092/issn.1973-2201/4142

Issue

Vol. 73 No. 2 (2013)

Section

Articles

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