In the present article measurement error effect on the power of control chart for ZTNBD is investigated based on standardized normal calculations are presented so as to enable an appreciation of the consequences of measurement errors on the power curve. To examine the sensitivity of the monitoring procedure, average run length is also considered. | Yugoslav Journal of Operations Research 27 (2017), Number 4, 451–462 DOI: MEASUREMENT ERROR EFFECT ON THE POWER OF CONTROL CHART FOR ZERO TRUNCATED NEGATIVE BINOMIAL DISTRIBUTION (ZTNBD) A. B. CHAKRABORTY Department of Statistics, St. Anthony’s College, Shillong, Meghalaya, India abc sac@ A. KHURSHID Department of Mathematical and Physical Sciences, College of Arts and Sciences, University of Nizwa, Birkat Al Mouz, Oman anwer@, anwer khurshid@ R. ACHARJEE Department of Statistics, St. Anthony’s College, Shillong, Meghalaya, India rituparna26acharjee@ Received: September 2016 / Accepted: March 2017 Abstract: In the present article measurement error effect on the power of control chart for ZTNBD is investigated based on standardized normal calculations are presented so as to enable an appreciation of the consequences of measurement errors on the power curve. To examine the sensitivity of the monitoring procedure, average run length is also considered. Keywords: Power, Zero-truncated Negative Binomial Distribution (ZTNBD), Measurement Error, Average Run Length (ARL). MSC: 62P30. 1. INTRODUCTION Count data which comprises of non-negative integer values that record the number of discrete events frequently linked to explanatory values are encountered in statistical research [10]. The Poisson distribution is extensively used in studying count data but the constraint for Poisson distribution so that its mean and variance 452 A. B. Chakraborty, et al. / Measurement Error Effect on the Power are identical is not fulfilled at all times in real life. Thus, the Negative Binomial Distribution (NBD), which can manage overdispersion, is used [11]. There are widespread applications of NBDs in a variety of substantive fields including accident statistics, econometrics, quality control, biometrics, pharmacokinetics, and pharmacodynamics [24] etc. For detailed description consult Johnson et .
