Jump to content

User:BeyondNormality/Ancker-Gafarian distribution (type 2)

From Wikipedia, the free encyclopedia
Ancker-Gafarian (type 2)
Notation
Support
PMF
CDF
Mean
Median
Mode
Variance
Skewness
Excess kurtosis
Entropy
MGF
CF
PGF

The probability mass function of the Ancker-Gafarian distribution (type 2) is given by


Cumulative Distribution Function


Expected Value


Variance

Recurrence relation


Moment Generating Function


Characteristic Function


Probability Generating Function

Interrelations

[edit]
Symbol Meaning
: the random variable X is distributed as the random variable Y
the distribution in the title is identical with this distribution
the distribution in title is a special case of this distribution
this distribution is a special case of the distribution in the title
this distribution converges to the distribution in the title
the distribution in the title converges to this distribution


Relationship Distribution When
zero-one 1-displaced Poisson
generalized zero-one family
power series family
Ancker-Gafarian (type 1)
deterministic
1-displaced Poisson

References

[edit]
  • Ancker, C.J. Jr., Gafarian, A.V. (1963b) Some queueing problems with balking and reneging II. Operations Research II, 928-937.
  • Srivastava, H.M., Kasyap, B.R. (1982). Special Functions in Queuing. New York: Academic Press.
  • Wimmer, G., Altmann. (1999). Thesaurus of univariate discrete probability distributions. Stamm; 1. ed (1999), pg 9