AI LIMIT THEORY FOR BIVARIATE CENTRAL AND BIVARIATE INTERMEDIATE DUAL GENERALIZED ORDER STATISTICS

被引：0

作者：

Barakat, H. M. ^{[1
]}

Nigm, E. M. ^{[1
]}

Abd Elgawad, M. A. ^{[2
]}

机构：

[1] Zagazig Univ, Fac Sci, Dept Math, Zagazig, Egypt

[2] Benha Univ, Fac Sci, Dept Math, Banha, Egypt

来源：

PROBABILITY AND MATHEMATICAL STATISTICS-POLAND | 2015年 / 35卷 / 02期

关键词：

Dual generalized order statistics; dual generalized central order statistics; dual generalized intermediate order statistics;

D O I：

暂无

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

Burkschat et al. (2003) have introduced the concept of dual generalized order statistics (dgos) to unify several models that produce descendingly ordered random variables (rv's) like reversed order statistics, lower k-records and lower Pfeifer records. In this paper we derive the limit distribution functions (df's) of bivariate central and bivariate intermediate m-dgos. It is revealed that the convergence of the marginals of the m-dgos implies the convergence of the joint df. Moreover, we derive the conditions under which the asymptotic independence between the two marginals occurs.

引用

页码：267 / 284

页数：18

共 14 条

[1]

[Anonymous], 2003, THESIS

[2] Limit theory of generalized order statistics [J].

Barakat, H. M. .

JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2007, 137 (01) :1-11

[3]

Barakat HM, 2014, REVSTAT-STAT J, V12, P199

[4]

Barakat HM, 2014, ALEA-LAT AM J PROBAB, V11, P331

[5]

Burkschat M., 2003, METRON, V1, P13

[6]

CHIbISOV D.M., 1964, Theory of Probability & Its Applications, V9, P142, DOI DOI 10.1137/1109021

[7]

David H. A., 2003, Order statistics

[8]

Kamps U., 1995, CONCEPT GEN ORDER ST

[9]

Mason D.M, 1982, ANN PROBABILTY, V10, P750

[10] Extreme value theory of generalized order statistics [J].

NasriRoudsari, D .

JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 1996, 55 (03) :281-297

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