 # 20-Gamma and Exponential distribution-31-Aug-2020Material I 31-Aug-2020 gamma and exponential distri

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Gamma and ExponentialDistributionExponential distribution is a special case of Gammadistribution.Gamma and Exponentially distribution is adistributions that arises naturally in processes forwhich the waiting times between events are relevant.It can be thought of as a waiting time betweenPoisson distributed events.
Gamma and ExponentialDistributionTo predict the wait time until future events.The exponential distribution predicts the wait timeuntil the*very first*event.The gamma distribution, on the other hand, predictsthe wait time until the*-th*event occurs.
Gamma DistributionA continuous random variable X follows gammadistribution with parameterandthen its probabilitydensity function is given bywhere
Gamma Distributiongamma function. . .,.,forNote, n is integer.
Exponential Distribution ~Gamma(A continuous random variable X follows exponentialdistribution with parameterthen its probabilitydensity function is given bywhere:(some book they use )
Exponential DistributionTo get some intuition for this interpretation of theexponential distribution, suppose you are waiting for anevent to happen. For example, you are at a store and arewaiting for the next customer. In each millisecond, theprobability that a new customer enters the store is very

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Term
Spring
Professor
NoProfessor
Tags
Probability theory, Exponential distribution
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