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numana ''k'' > 0 nyaeta ''parameter bentuk'' jeung θ > 0 nyaeta ''parameter skala'' sebaran gamma .
The [[cumulativeCumulative distribution function]] can be expressed inbisa termsditembongkeun ofdina thewatesan [[incomplete gamma function]],
:<math> F(x) = \int_0^x f(u)\,du
= \frac{\gamma(k, x/\theta)}{\Gamma(k)} </math>
The [[expectedExpected value]] andsarta [[variancevarian]] of a gammatina [[variabel random variable]] gamma ''X'' arenyaeta:
:<math>
</math>
IfLamun <math>X_1</math> hasngabogaan asebaaran gamma distributionmibanda with parametersparameter <math>k_1</math> andjeung θ,
andsarta <math>X_2</math> hasngabogaan asebaran gamma distributionmibanda with parametersparamater <math>k_2</math> andjeung θ,
thenmangka <math>X_1 + X_2</math> hasngabogaan asebaran gamma distributionmibanda with parametersparameter <math>k_1 + k_2</math> andjeung θ.
IfLamun ''k'' issarua equal tojeung 1, thesebaran gamma distribution is anngarupakeun [[exponential distribution]] withmibanda parameter θ.
The sum ofJumlah ''n'' exponentialvariabel variableseksponensial, allsakabehna with the samemibanda parameter θ nu sarua, isngarupakeun avariabel gamma variablenu withmibanda parametersparameter ''n'' andjeung θ.
IfLamun ''k'' is anngarupakeun integer, thesebaran gamma distribution is anngarupakeun [[Erlang distribution]] (sokeur namedngahargaan in honor ofka [[A.K. Erlang]]) andsarta issebaran theprobabiliti probabilitywaktu distributiontunggu of the waiting time of thetina nu-''k''th "arrivaldatang" indina a onehiji-dimensionaldimensi [[Poisson process]] withnu mibanda intensityintensitas 1/θ.
IfLamun ''k'' isngarupakeun a halfsatengah-integer andsarta θ = 2, thenmangka the gammasebaran distribution is angarupakeun [[sebaran chi-square distributionkuadrat]] withnu mibanda ''2 k'' degrees oftingkat freedomkabebasan.
TheSebaran gamma distributionsngarupakeun aresebaran probabiliti [[infinite divisibility|infinitely divisible]] probability distributions.
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