192.80.0.237: Disambiguated: score → Raw score

2014-03-05T03:26:45Z

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	~~{{refimprove\|date=August 2013}}~~

	In [[probability theory]], the '''zero-truncated Poisson (ZTP) distribution''' is a certain [[discrete probability distribution]] whose support is the set of positive integers. It is the conditional probability distribution of a [[Poisson distribution\|Poisson-distributed]] [[random variable]], given that the value of the random variable is not zero. Thus it is impossible for a ZTP random variable to be zero. Consider for example the random variable of the number of items in a shopper's basket at a supermarket checkout line. Presumably a shopper does not stand in line with nothing to buy (i.e. the minimum purchase is 1 item), so this phenomenon may follow a ZTP distribution.<ref>
	~~{{cite web~~
	~~\|url=http://www.ats.ucla.edu/stat/stata/dae/ztp.htm~~
	~~\|title=Stata Data Analysis Examples: Zero-Truncated Poisson Regression~~
	~~\|publisher=[[UCLA]] Institute for Digital Research and Education~~
	~~\|accessdate=7 August 2013~~
	~~}}</ref>~~

	~~Since~~ the ~~ZTP~~ is a ~~[[truncated distribution]] with~~ the ~~truncation stipulated as {{math\|~~<~~var~~>k</~~var> > 0}}~~, ~~one~~ can ~~derive~~ the ~~probability mass function {{math\|~~<~~var~~>g</~~var>(<var>k<~~/~~var>;~~<~~var~~>~~λ~~<~~/var~~>~~)}} from~~ a ~~standard Poisson distribution {{math\|~~<~~var~~>f<~~/var~~>(<~~var~~>k<~~/var~~>~~;<var>λ</var>}})~~ as ~~follows~~:		It starts to scan your computer and alerts you that all these threats can be fixed only after you purchase the full version of Windows debug system. Now keep it raised if it is generating a significant volume of prospects or sales. If you buy the offer, you will likely be offered another upsell (seriously). If you have any questions, comments, or feedback, I would love to hear it. Asking real people about the domain registrars that they trust can narrow your search considerably. 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	~~: <math>g(k;\lambda) = P(X = k \mid k > 0) =~~
	~~\frac{f(k;\lambda)}{1~~-~~F(0)} =~~
	~~\frac{\lambda ^ k e^{- \lambda} }{k ! \left ( 1~~ - ~~e^{~~- ~~\lambda} \right )}~~. <~~/math~~>

	~~==References==~~
	~~{{reflist}}~~
	~~{{ProbDistributions\|discrete~~-~~infinite}}~~
	~~[[Category:Discrete distributions]]~~
	~~[[Category:Poisson processes]]~~
	~~[[Category:Probability distributions]]~~

en>Josve05a: general fixes, added orphan tag using AWB

2013-08-07T11:33:27Z

general fixes, added orphan tag using AWB

New page

{{refimprove|date=August 2013}}

In [[probability theory]], the '''zero-truncated Poisson (ZTP) distribution''' is a certain [[discrete probability distribution]] whose support is the set of positive integers. It is the conditional probability distribution of a [[Poisson distribution|Poisson-distributed]] [[random variable]], given that the value of the random variable is not zero. Thus it is impossible for a ZTP random variable to be zero. Consider for example the random variable of the number of items in a shopper's basket at a supermarket checkout line. Presumably a shopper does not stand in line with nothing to buy (i.e. the minimum purchase is 1 item), so this phenomenon may follow a ZTP distribution.<ref>
{{cite web
|url=http://www.ats.ucla.edu/stat/stata/dae/ztp.htm
|title=Stata Data Analysis Examples: Zero-Truncated Poisson Regression
|publisher=[[UCLA]] Institute for Digital Research and Education
|accessdate=7 August 2013
}}</ref>

Since the ZTP is a [[truncated distribution]] with the truncation stipulated as {{math|<var>k</var> > 0}}, one can derive the probability mass function {{math|<var>g</var>(<var>k</var>;<var>λ</var>)}} from a standard Poisson distribution {{math|<var>f</var>(<var>k</var>;<var>λ</var>}}) as follows:

: <math>g(k;\lambda) = P(X = k \mid k > 0) =
\frac{f(k;\lambda)}{1-F(0)} =
\frac{\lambda ^ k e^{- \lambda} }{k ! \left ( 1 - e^{- \lambda} \right )}. </math>

==References==
{{reflist}}
{{ProbDistributions|discrete-infinite}}
[[Category:Discrete distributions]]
[[Category:Poisson processes]]
[[Category:Probability distributions]]

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192.80.0.237: Disambiguated: score → Raw score

en>Josve05a: general fixes, added orphan tag using AWB