Research Article

PARTIALLY MOMENT RELATIONS FOR THE PRODUCT MOMENTS OF ORDER STATISTICS FROM THE STANDARD TWO-SIDED POWER DISTRIBUTION

Volume: 10 Number: 1 January 31, 2017
EN

PARTIALLY MOMENT RELATIONS FOR THE PRODUCT MOMENTS OF ORDER STATISTICS FROM THE STANDARD TWO-SIDED POWER DISTRIBUTION

Abstract

In this work, moment relations for the product moments of order statistics from the standard two-sided power (STSP) distribution are obtained. Since the probability density function (pdf) of the STSP distribution is a piecewise function, we consider the pieces separately and develop certain moment relations based on these pieces. Also, the usefulness of these moment relations in evaluating the product moments of order statistics from the STSP distribution is discussed.

Keywords

References

  1. Arnold, B.C., Balakrishnan, N. and Nagaraja H.N. (1992). A First Course in Order Statistics. John Wiley, New York.
  2. Balakrishnan, N., Malik, H.J. and Ahmet, S.E. (1988). Recurrence relations and identities for moments of order statistics II: Speci c continuous distributions. Commun. Statist. - Theo. Meth., 17, 2657-2694.
  3. Cetinkaya, C . and Genc, A_I. (2016). Moments of order statistics of the standard two-sided power distribution, Submitted for publication.
  4. David, H.A. and Nagaraja, H.N. (2003). Order Statistics, 3rd edn. John Wiley and Sons, New York.
  5. Genc, A_I. (2012). Moments of order statistics of Topp-Leone distribution. Statistical Papers, 53, 117-131.
  6. Khan, A.H., Parvez, S. and Yaqub, M. (1983). Recurrence relations between product moments of order statistics. Journal of Statistical Planning and Inference, 8, 175-183.
  7. Kotz, S. and Van Dorp, J.R. (2004). Beyond Beta: Other Continuous Families of Distributions with Bounded Support and Applications, Singapure, World Scienti c.
  8. Nagaraja, H.N. (2013). Moments of order statistics and L-Moments for the symmetrical triangular distribution. Statistics and Probability Letters, 83, 2357-2363.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Ali İ. Genç This is me
Türkiye

Publication Date

January 31, 2017

Submission Date

June 10, 2016

Acceptance Date

December 29, 2016

Published in Issue

Year 2017 Volume: 10 Number: 1

APA
Çetinkaya, Ç., & Genç, A. İ. (2017). PARTIALLY MOMENT RELATIONS FOR THE PRODUCT MOMENTS OF ORDER STATISTICS FROM THE STANDARD TWO-SIDED POWER DISTRIBUTION. Istatistik Journal of The Turkish Statistical Association, 10(1), 14-23. https://izlik.org/JA44MG46JR
AMA
1.Çetinkaya Ç, Genç Aİ. PARTIALLY MOMENT RELATIONS FOR THE PRODUCT MOMENTS OF ORDER STATISTICS FROM THE STANDARD TWO-SIDED POWER DISTRIBUTION. IJTSA. 2017;10(1):14-23. https://izlik.org/JA44MG46JR
Chicago
Çetinkaya, Çağatay, and Ali İ. Genç. 2017. “PARTIALLY MOMENT RELATIONS FOR THE PRODUCT MOMENTS OF ORDER STATISTICS FROM THE STANDARD TWO-SIDED POWER DISTRIBUTION”. Istatistik Journal of The Turkish Statistical Association 10 (1): 14-23. https://izlik.org/JA44MG46JR.
EndNote
Çetinkaya Ç, Genç Aİ (January 1, 2017) PARTIALLY MOMENT RELATIONS FOR THE PRODUCT MOMENTS OF ORDER STATISTICS FROM THE STANDARD TWO-SIDED POWER DISTRIBUTION. Istatistik Journal of The Turkish Statistical Association 10 1 14–23.
IEEE
[1]Ç. Çetinkaya and A. İ. Genç, “PARTIALLY MOMENT RELATIONS FOR THE PRODUCT MOMENTS OF ORDER STATISTICS FROM THE STANDARD TWO-SIDED POWER DISTRIBUTION”, IJTSA, vol. 10, no. 1, pp. 14–23, Jan. 2017, [Online]. Available: https://izlik.org/JA44MG46JR
ISNAD
Çetinkaya, Çağatay - Genç, Ali İ. “PARTIALLY MOMENT RELATIONS FOR THE PRODUCT MOMENTS OF ORDER STATISTICS FROM THE STANDARD TWO-SIDED POWER DISTRIBUTION”. Istatistik Journal of The Turkish Statistical Association 10/1 (January 1, 2017): 14-23. https://izlik.org/JA44MG46JR.
JAMA
1.Çetinkaya Ç, Genç Aİ. PARTIALLY MOMENT RELATIONS FOR THE PRODUCT MOMENTS OF ORDER STATISTICS FROM THE STANDARD TWO-SIDED POWER DISTRIBUTION. IJTSA. 2017;10:14–23.
MLA
Çetinkaya, Çağatay, and Ali İ. Genç. “PARTIALLY MOMENT RELATIONS FOR THE PRODUCT MOMENTS OF ORDER STATISTICS FROM THE STANDARD TWO-SIDED POWER DISTRIBUTION”. Istatistik Journal of The Turkish Statistical Association, vol. 10, no. 1, Jan. 2017, pp. 14-23, https://izlik.org/JA44MG46JR.
Vancouver
1.Çağatay Çetinkaya, Ali İ. Genç. PARTIALLY MOMENT RELATIONS FOR THE PRODUCT MOMENTS OF ORDER STATISTICS FROM THE STANDARD TWO-SIDED POWER DISTRIBUTION. IJTSA [Internet]. 2017 Jan. 1;10(1):14-23. Available from: https://izlik.org/JA44MG46JR