Journal of Statistics Applications & Probability


In real case problems, the relationship between the response variable and one or more explanatory variables is called profile that should be monitored over time instead of the quality characteristic itself. Profile monitoring is used in such instances. Many researches have been done in profile monitoring but most of them assumed that the response variable follows normal distribution. In this paper, we will obtain the form of the Sum Com-Poisson likelihood equation and the parametric estimation. For a random sample Y1. . . YN, where P(Yi = yi | λ, ν,m), i = 1, . . . ,N. where the Conway–Maxwell–Poisson (CMP or COM–Poisson).

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