The Poisson distribution
Lecture 5 : The Poisson Distribution
... The Poisson Distribution The Poisson distribution is a discrete probability distribution for the counts of events that occur randomly in a given interval of time (or ...
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An Exceptional Generalization of the Poisson Distribution
... the Poisson distribution is usually the first option, but real data can indicate a variety of ...the Poisson model has no dispersion flexibility because the mean determines the variance and the zero ...
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Log-concavity and the maximum entropy property of the Poisson distribution
... the Poisson and Cauchy ...the Poisson distribution as a maximum entropy ...the Poisson random variables Z λ (with mass function Π λ (x) = e − λ λ x /x! and mean λ) do satisfy a natural maximum ...
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Degenerate Poisson Distribution
... degenerate Poisson distrib- ution which is a new extension of the Poisson distribution including the degenerate expo- nential ...degenerate Poisson distribution such as the …rst and the ...
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Degenerate Poisson Distribution
... degenerate Poisson distrib- ution which is a new extension of the Poisson distribution including the degenerate expo- nential ...degenerate Poisson distribution such as the …rst and the ...
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A Generalized Inflated Poisson Distribution
... or overestimates the observed dispersion. This happens because the single parameter λ, over which the Poisson distribution is dependent, is often insufficient to describe the true observed ...
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Significance of Poisson distribution theory in analysing
... 1, which plots against m for each experiment, and incorporates the theoretical curve derived from Poisson distribution theory. As the proportion of oocytes penetrated increased, there was a concomitant rise ...
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A Two-Parameter Poisson-Akash Distribution with Properties and Applications
... mixed Poisson distributions by different researchers including Raghavachari et al (1997), Karlis and Xekalaki (2005), Panjeer (2006), are some among ...Mixed Poisson distributions arise when the parameter ...
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A Zero-Truncated Poisson-Amarendra Distribution and Its Application
... a distribution such as coefficient of skewness, kurtosis, and index of dispersion depends on the ...size-biased Poisson distribution (SBPD) with an assumed continuous ...the Poisson ...
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APPLICATION OF LINEAR REGRESSION MODEL FOR POISSON DISTRIBUTION IN FORECASTING
... The Poisson distribution plays a key role in modelling such ...The Poisson distribution is a discrete probability distribution for the counts of events that occur randomly in a given ...
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Posterior Estimates of Poisson Distribution Using R Software
... the Poisson distribution is examined under different ...the Poisson distribution are derived using the following priors: uniform, Jeffrey’s, Gamma distribution, Gamma-Chi-square ...
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A zero inflated occupancy distribution: exact results and Poisson convergence
... In the present paper, we consider the generalized scheme of allocation that addresses the problem that the count data displays a higher fraction of zeros or nonoccurrences. More precisely, we introduce a common ...
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Bounds for the approximation of Poisson binomial distribution by Poisson distribution
... k=1 X nk have probability distributions with complicated structure and therefore they are used to being approximated by Poisson distribution. Well-known Le Cam’s inequality is established for providing ...
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The Poisson-Lomax Distribution
... Weibull distribution and established its properties in the presence of censored ...Lomax distribution was introduced by Ghitany, Al-Awadhi & Alkhalfan ...Compounding Poisson and exponential ...
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A nonuniform bound for the approximation of Poisson binomial by Poisson distribution
... A NONUNIFORM BOUND FOR THE APPROXIMATION OF POISSON ... 3043 where h is a function that is used to test convergence and N(h) = E[h(Z)] where Z is the standard normal. Chen [3] applied Stein’s ideas in the ...
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An alternative hyper-Poisson distribution
... hyper-Poisson distribution which we named as “the alternative hyper-Poisson distribution (AHP distribu- tion)” and study its important ...AHP distribution and derive its ...AHP ...
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Modified intervened Poisson distribution
... intervened Poisson distribu- tion which extends the IPD and an advantage of this distribution over the IPD is that it stretches the probability in all directions so that clustering of probabili- ties at ...
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Extended Poisson Exponential Distribution
... and Poisson distribution has been introduced in this ...truncated Poisson distribution we have derived the new distribution, named as Extended Poisson Exponential ...This ...
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Com Poisson Thomas Distribution
... COM-Poisson distribution is a generalization of Poisson, Bernoulli and geometric ...Thomas distribution is a compound Poisson distribution with shifted Poisson compounding ...
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Extended Lindley Poisson Distribution
... Figure 8.2. Graph of Observed vs Expected Probability for Bladder Cancer Data 9. Concluding Remarks We have proposed and presented results on a new class of distributions called the extended Lindley Poisson ...
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