Estimation of parameters of a two-parameter rectangular distribution and its characterization by k-th

Authors

  • Jagdish Saran University of Delhi
  • Aparna Pandey P.G.D.A.V. College, New Delhi

DOI:

https://doi.org/10.6092/issn.1973-2201/3528

Abstract

In this paper, we shall make use of the properties of the k-th upper record values to develop the inferential procedures such as point estimation. We shall obtain the best linear unbiased estimates of parameters of a two-parameter rectangular distribution based on k-th record values. The efficiency of the best linear unbiased estimates of the parameters based on two k-th record values has been compared with that of the corresponding estimates based on a complete set of k-th record values. At the end we give the characterization of the two-parameter rectangular distribution using k-th upper record values.

References

M. AHSANULLAH (1989), Estimation of the parameters of a power function distribution by record values, “Pakistan Journal of Statistics”, 5, 2, pp. 189-194.

M. AHSANULLAH (1995), Record Statistics, Nova Science Publishers, Inc. Commack, New York.

B.C ARNOLD, N. BALAKRISHNAN and H.N. NAGARAJA (1998), Records, John Wiley and Sons, New York.

K.M. CHANDLER (1952), The distribution and frequency of record values, “Journal of Royal Statistical Society”, Ser. B, 14, pp. 220-228.

W. DZIUBDZIELA and B. KOPOCINSKI (1976), Limiting properties of the k-th record value, “Applied Mathematics”, 15, pp. 187-190.

W. FELLER (1966), An Introduction to Probability Theory and Its Applications, vol. 2, John Wiley and Sons, New York.

Z. GRUDZIEŃ (1982), Charakteryzacja rokadów w terminach statystyk rekordowych oraz rozklady I momenty statystyk porzadkowych i rekordowych z prób o losowej liczebnosci, Praca doktorska, UMCS Lublin.

U. KAMPS (1995), A concept of generalized order statistics, “Journal of Statistical Planning and Inference”, 48, pp. 1-23.

G.D. LIN (1986), On a moment problem, “Tohoku Mathematical Jounral”, 38, pp. 595-598.

V.B. NEVZOROV (1987), Records, “Theory of Probability and Applications”, 32, 2, pp. 201-228 (English Translation).

Downloads

Published

2008-06-30

How to Cite

Saran, J., & Pandey, A. (2008). Estimation of parameters of a two-parameter rectangular distribution and its characterization by k-th. Statistica, 68(2), 167–178. https://doi.org/10.6092/issn.1973-2201/3528

Issue

Section

Articles