Manuals/calci/poisson

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POISSON(x,m,cu)


  • is the number of events.
  • is the mean
  • is the logical value like TRUE or FALSE.


Description

  • This function gives the value of 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.
  • It is is used to model the number of events occurring within a given time interval.
  • In is the number of events in a given interval of time, is the Average numeric value and is the logical value.
  • If it is TRUE, this function will give the cumulative Poisson probability with the number of random events between 0 and x(included).
  • If it is FALSE,this function will give the Poisson probability mass function with the number of events occuring will be exactly x.
  • The POSSON probability mass function is: , x=0,1,2,...where is the shape parameter and >0.e is the base of the natural logarithm (e=2.718282).
  • The cumulative Poisson probability function is:.
  • This function will return the result as error when
1.x or m is nonnumeric.
2.x<0 or m<0.

where,

X - are represents number of events.

Mean - is the expected numeric values.

Cumulative - returned the logical value that determines the form of the probability distribution.

If TRUE - returnd the cumulative Poisson probability that the number of random events occuring will be between 0 and X.

If FALSE -returns the Poisson probability mass function that the number of events occuring will be exactly X.


Returns the Poisson distribution.

Formula :-

If Cumulative =FALSE

POISSON = (eλ× ) / x!

If Cumulative = TRUE

POISSON = Σ(eλ× ) /k!


If X orMean is nonnumeric, POISSON returns the #ERROR.

If X < 0 or Mean < 0 ,POISSON returns the #ERROR.


POISSON


Lets see an example in (Column1, Row1)

?UNIQ1bbe901cd2555324-nowiki-00000004-QINU?

POISSON returns 0.44568.

Cosider an another example

?UNIQ1bbe901cd2555324-nowiki-00000005-QINU?

POISSON returns 0.195367.


Syntax

Remarks

Examples

Description

Column1 Column2 Column3 Column4
Row1 0.44568
Row2 0.195367
Row3
Row4
Row5
Row6