ON POWER OF THE CONTROL CHART FOR ZERO TRUNCATED BINOMIAL DISTRIBUTION UNDER MISCLASSIFICATION ERROR

In this paper a mathematical investigation has been made on the effect of misclassification due to measurement error on power of the control chart for zero truncated binomial distribution (ZTBD):. Analytical formulas are obtained for calculating probabilities of errors of misclassification due to measurement error. The connection between apparent fraction defective (AFD) and true fraction defective (TFD) has been used to study the power of control chart. Expressions of average run length (ARL) and OC curve are also obtained. KEYWORDS: Measurement error, misclassification, zero-truncated binomial distribution, power, average run length (ARL), OC curve. MSC: 62P30 En este paper una investigacion matematica se desarrollo sobre el efecto de la mala clasificacion debido al error de medicion en la carta de control de la distribucion Binomial truncada (ZTBD). Formulas analiticas son obtenidas para calcular las probabilidades de error de la clasificacion debida al error de medicion. La conexion entre la fraccion aparente de defectuosos (AFD) y la verdadera (TFD) han sido usadas para estudiar la potencia de la carta de control.. Expresiones del average del largo de la corrida (ARL) y de la curva OC curva tambien son obtenidas.