Comparative study of process capability indices variables distributed with no normal

Authors

  • Martha Valdiviezo Escuela de Administración de la UDO
  • José Fermín Universitario de Tecnología Cumaná

DOI:

https://doi.org/10.15381/idata.v13i2.6187

Keywords:

Process Capability Indices. Burr and Generalized pareto distributions, Burr & Clements percentiles.

Abstract

This paper evaluates the performance of process capability indices, PCI in non-normal situations percentiles using the methods of Clements (CCP CCpk) and Burr (BCP BCpk). Although the PCI is used in industry, there is insuffi cient literature to determine their accuracy by taking into account moderate and severe deviations of the normality. To study these deviations, it performs a comparison of both methods considering simulated data distributions with the Weibull, Lognormal, Beta and Generalized Pareto, GP. In calculating the PCI the CCpk generates smaller deviations with the Weibull distribution, whereas that the BCpk, deviations are higher. On the other side with each distribution the BCP generates lower average deviation from the CCP. Finally a real case considering the distribution GP.

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Author Biographies

  • Martha Valdiviezo, Escuela de Administración de la UDO

    M.Sc en Matemática. Profesora de la Escuela de Administración de la UDO. Núcleo de Sucre.Cumaná-Venezuela

  • José Fermín, Universitario de Tecnología Cumaná

    Ph.D. in Statistics, Kansas University. EEUU. Profesor Jubilado del Instituto Universitario de Tecnología Cumaná. Venezuela

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Published

2010-12-31

Issue

Section

Producción y Gestión

How to Cite

Comparative study of process capability indices variables distributed with no normal. (2010). Industrial Data, 13(2), 056-065. https://doi.org/10.15381/idata.v13i2.6187