Metron-International Journal of Statistics, Volume (70), No (1), Year (2012-10) , Pages (89-107)

Title : ( Statistical Inference Based on the Top Scores )

Authors: Mostafa Razmkhah , Jafar Ahmadi ,

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In this paper, three different types of data sets, namely, the sequence of top $k$ scores vectors, just one top $k$ scores vector and the sequence of upper $k$-record values are considered. Frequentist estimation based on three mentioned data sets and also the amount of Fisher information (FI) in them are discussed for a general class of lifetime model, i.e., proportional hazard rate model. It is well-known that this class includes several lifetime distributions such as exponential, Weibull (one parameter), Pareto, Burr type XII and so on. Finally, the two-parameter Weibull distribution is studied in detail.


, Order statistics, Record values, Proportional hazard rate model, Information inequality, Weibull distribution.
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author = {Razmkhah, Mostafa and Ahmadi, Jafar},
title = {Statistical Inference Based on the Top Scores},
journal = {Metron-International Journal of Statistics},
year = {2012},
volume = {70},
number = {1},
month = {October},
issn = {0026-1424},
pages = {89--107},
numpages = {18},
keywords = {Order statistics; Record values; Proportional hazard rate model; Information inequality; Weibull distribution.},


%0 Journal Article
%T Statistical Inference Based on the Top Scores
%A Razmkhah, Mostafa
%A Ahmadi, Jafar
%J Metron-International Journal of Statistics
%@ 0026-1424
%D 2012