Characterizations based on moments of the number of observations near-order statistics
Year
: 2014
Abstract: Let X1,..., Xn be independent and identically distributed (iid) real-valued random
variables with continuous distribution function F, and denote the corresponding
ith order statistic by Xi:n. Two random variables K+(n;k;a) = #fi : Xi 2 [Xk:n;Xk:n +
a)g and K(n;k;a) = #fi : Xi 2 (Xk:n a;Xk:n]g have been defined in the literature,
where k = 1; :::;n and a > 0 is a constant. Several articles have been published to
study asymptotic behavior of the aforementioned random variables, see for example
Balakrishnan and Stepanov (2005) and Dembinska et al. (2007). We provide some
characterization results of F based on moments of K+(n;k;a) and K(n;k;a) using the
concept of completeness (Higgins, 2004) and the method of general solution of the
functional equation (Aczél, 1966).
variables with continuous distribution function F, and denote the corresponding
ith order statistic by Xi:n. Two random variables K+(n;k;a) = #fi : Xi 2 [Xk:n;Xk:n +
a)g and K(n;k;a) = #fi : Xi 2 (Xk:n a;Xk:n]g have been defined in the literature,
where k = 1; :::;n and a > 0 is a constant. Several articles have been published to
study asymptotic behavior of the aforementioned random variables, see for example
Balakrishnan and Stepanov (2005) and Dembinska et al. (2007). We provide some
characterization results of F based on moments of K+(n;k;a) and K(n;k;a) using the
concept of completeness (Higgins, 2004) and the method of general solution of the
functional equation (Aczél, 1966).
Keyword(s): Characterizations,near observation,order statistics
Collections
:
-
Statistics
Characterizations based on moments of the number of observations near-order statistics
Show full item record
| contributor author | معصومه فشندی | en |
| contributor author | جعفر احمدی | en |
| contributor author | Massoumeh Fashandi | fa |
| contributor author | Jafar Ahmadi | fa |
| date accessioned | 2020-06-06T14:13:57Z | |
| date available | 2020-06-06T14:13:57Z | |
| date copyright | 6/1/2014 | |
| date issued | 2014 | |
| identifier uri | http://libsearch.um.ac.ir:80/fum/handle/fum/3387967?locale-attribute=en | |
| description abstract | Let X1,..., Xn be independent and identically distributed (iid) real-valued random variables with continuous distribution function F, and denote the corresponding ith order statistic by Xi:n. Two random variables K+(n;k;a) = #fi : Xi 2 [Xk:n;Xk:n + a)g and K(n;k;a) = #fi : Xi 2 (Xk:n a;Xk:n]g have been defined in the literature, where k = 1; :::;n and a > 0 is a constant. Several articles have been published to study asymptotic behavior of the aforementioned random variables, see for example Balakrishnan and Stepanov (2005) and Dembinska et al. (2007). We provide some characterization results of F based on moments of K+(n;k;a) and K(n;k;a) using the concept of completeness (Higgins, 2004) and the method of general solution of the functional equation (Aczél, 1966). | en |
| language | English | |
| title | Characterizations based on moments of the number of observations near-order statistics | en |
| type | Conference Paper | |
| contenttype | External Fulltext | |
| subject keywords | Characterizations | en |
| subject keywords | near observation | en |
| subject keywords | order statistics | en |
| identifier link | https://profdoc.um.ac.ir/paper-abstract-1040735.html | |
| conference title | 11th International Conference on Ordered Statistical Data | en |
| conference location | Będlewo | fa |
| identifier articleid | 1040735 |