ENBIS: European Network for Business and Industrial Statistics

Control Charts for the Logarithmic Distribution

23 September 2008, 16:50 – 17:10

Abstract

Submitted by

Elisabeth Topalidou

Authors

Elisabeth Topalidou, Stelios Psarakis

Affiliation

Dept. of Statistics, Athens University of Economics and Business

Abstract

Logarithmic distribution is one of the discrete distributions with various applications some of which are in ecology, engineering and water resources, pharmacology, biochemistry, molecular biology, genetics, environmental sciences, telecommunications and others. As a result of its variety of applications, it appears to be important that control charts to detect shifts in mean and variability should be constructed on the assumption that the distribution of the quality characteristic under study is the logarithmic distribution. Here we construct Shewhart-type and probability-type control charts for detecting parameter shifts for the logarithmic distribution. The performances of those two types of logarithmic control charts are compared. We also investigate the construction of CUSUM procedures for the logarithmic distribution. Finally the construction and the investigation of the performance of the proposed charts are illustrated using numerical examples.

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