# Simple large sample estimators of scale and location parameters based on blocks of order statistics.

Trabajos de Estadística e Investigación Operativa (1982)

- Volume: 33, Issue: 3, page 86-118
- ISSN: 0041-0241

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topKubat, Peter. "Simple large sample estimators of scale and location parameters based on blocks of order statistics.." Trabajos de Estadística e Investigación Operativa 33.3 (1982): 86-118. <http://eudml.org/doc/40669>.

@article{Kubat1982,

abstract = {In this paper quite efficient large sample estimation procedures are derived for jointly estimating the parameters of the location-scale family of distributions. These estimators are linear combinations of the means of suitably chosen blocks of order statistics. For specific distributions, such as the extreme-value, normal, and logistic, little is to be gained by using more than three blocks. For these distributions we can obtain joint relative asymptotic efficiencies of 97-98% using the means of three blocks of ordered observations. The estimation procedures are also adapted for the estimation of the shape and scale parameters of the Weibull distribution.},

author = {Kubat, Peter},

journal = {Trabajos de Estadística e Investigación Operativa},

keywords = {Inferencia estadística; Estimador puntual; location-scale family; relative asymptotic efficiencies; Weibull distribution; sample mean of block; asymptotic normality; order statistics; extreme-value; normal},

language = {eng},

number = {3},

pages = {86-118},

title = {Simple large sample estimators of scale and location parameters based on blocks of order statistics.},

url = {http://eudml.org/doc/40669},

volume = {33},

year = {1982},

}

TY - JOUR

AU - Kubat, Peter

TI - Simple large sample estimators of scale and location parameters based on blocks of order statistics.

JO - Trabajos de Estadística e Investigación Operativa

PY - 1982

VL - 33

IS - 3

SP - 86

EP - 118

AB - In this paper quite efficient large sample estimation procedures are derived for jointly estimating the parameters of the location-scale family of distributions. These estimators are linear combinations of the means of suitably chosen blocks of order statistics. For specific distributions, such as the extreme-value, normal, and logistic, little is to be gained by using more than three blocks. For these distributions we can obtain joint relative asymptotic efficiencies of 97-98% using the means of three blocks of ordered observations. The estimation procedures are also adapted for the estimation of the shape and scale parameters of the Weibull distribution.

LA - eng

KW - Inferencia estadística; Estimador puntual; location-scale family; relative asymptotic efficiencies; Weibull distribution; sample mean of block; asymptotic normality; order statistics; extreme-value; normal

UR - http://eudml.org/doc/40669

ER -

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