Given a sample from a compound Poisson distribution, we consider estimation of the
corresponding rate parameter and base distribution. This has applications in insurance …

We give a critical synopsis of classical and recent tests for Poissonity, our emphasis being
on procedures which are consistent against general alternatives. Two classes of weighted …

The importance of the Poisson distribution among the discrete distributions has led to the
development of several hypothesis tests, for testing whether data come from a Poisson …

BOUNDS ON TAIL PROBABILITIES OF DISCRETE DISTRIBUTIONS Page 1 BOUNDS ON TAIL
PROBABILITIES OF DISCRETE DISTRIBUTIONS BERNHARD KLAR Institut für Mathematische …

From the distributional characterizations that lie at the heart of Stein's method we derive
explicit formulae for the mass functions of discrete probability laws that identify those …

This paper studies the problem of simultaneously testing that each of k samples, coming
from k count variables, were all generated by Poisson laws. The means of those populations …

This paper presents new omnibus tests for the exponential and the normal distribution which
are based on the difference between the integrated distribution function Ψ (t)=∫ t∞(1-F (x) …

There is an increasing number of goodness-of-fit tests whose test statistics measure
deviations between the empirical characteristic function and an estimated characteristic …

Mean distance test of Poisson distribution - ScienceDirect Skip to main contentSkip to article
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The performance of lateral house connections can have a substantial impact on the overall
level of service provided by sewer systems. However, knowledge on the failure probability of …