أعضاء هيئة التدريس - جامعة بنها
Limit Theory for Bivariate Central and Bivariate Intermediate Dual Generalized order Statistics
PROBABILITY AND MATHEMATICAL STATISTICS • 2015
معلومات البحث
المؤلفون
H.M. Barakat , E.M. Nigm and M.A. Abd Elgawad
الكلمات المفتاحية
Dual generalized order statistics, dual generalized
central order statistics, dual generalized intermediate order statistics.
المجلة العلمية
PROBABILITY AND MATHEMATICAL STATISTICS
الناشر
Not Available
المجلد
Vol. 35, Fasc. 2 (2015), pp. 267–284
العدد
Not Available
الصفحات
267-284
publication.type
International
رابط البحث
Not Available
المواد المرفقة
Not Available
الملخص
Abstract. 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.
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.