JEDNOSTKA NAUKOWA KATEGORII A+

Stochastic comparisons of moment estimators of gamma distribution parameters

Tom 39 / 2012

Piotr Nowak Applicationes Mathematicae 39 (2012), 129-135 MSC: 60E15, 62E99, 62N05. DOI: 10.4064/am39-2-1

Streszczenie

Recently the order preserving property of estimators has been intensively studied, e.g. by Gan and Balakrishnan and collaborators. In this paper we prove the stochastic monotonicity of moment estimators of gamma distribution parameters using the standard coupling method and majorization theory. We also give some properties of the moment estimator of the shape parameter and derive an approximate confidence interval for this parameter.

Autorzy

  • Piotr NowakMathematical Institute
    University of Wrocław
    Pl. Grunwaldzki 2/4
    50-384 Wrocław, Poland
    e-mail

Przeszukaj wydawnictwa IMPAN

Zbyt krótkie zapytanie. Wpisz co najmniej 4 znaki.

Przepisz kod z obrazka

Odśwież obrazek

Odśwież obrazek