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Why belong exponential family for poisson distribution or geometric distribution?
Why belong exponential family for poisson distribution
Why geometric distribution is called lack of memory?
Dhuttor Baal
What kind of distribution is exponential distribution?
Exponential distribution is a function of probability theory and statistics. This kind of distribution deals with continuous probability distributions and is part of the continuous analogue of the geometric distribution in math.
Why is this distribution referred to as a geometric distribution?
The geometric distribution is: Pr(X=k) = (1-p)k-1p for k = 1, 2 , 3 ... A geometric series is a+ ar+ ar2, ... or ar+ ar2, ... Now the sum of all probability values of k = Pr(X=1) + Pr(X = 2) + Pr(X = 3) ... = p + p2+p3 ... is a geometric series with a = 1 and the value 1 subtracted from the series. See related links.
Why geometric distribution only have a memory less property?
This is the only discrete distribution that is memoryless. (In the continuous case the exponential is memoryless.) It's the only one to have this property because it is the only one to count independent trials.
Whose distribution belong exponential family?
Poisson distribution or geometric distribution
What are examples of Geometric distribution in real life?
The geometric distribution appears when you have repeated trials of a random variable with a constant probability of success. The random variable which is the count of the number of failures before the first success {0, 1, 2, 3, ...} has a geometric distribution.
Why belong exponential family for poisson distribution or geometric distribution?
Why belong exponential family for poisson distribution
Why geometric distribution is called lack of memory?
Dhuttor Baal
What kind of distribution is exponential distribution?
Exponential distribution is a function of probability theory and statistics. This kind of distribution deals with continuous probability distributions and is part of the continuous analogue of the geometric distribution in math.
The variance in geometric distribution?
Var(X) = (1-p)/p^2
Why is this distribution referred to as a geometric distribution?
The geometric distribution is: Pr(X=k) = (1-p)k-1p for k = 1, 2 , 3 ... A geometric series is a+ ar+ ar2, ... or ar+ ar2, ... Now the sum of all probability values of k = Pr(X=1) + Pr(X = 2) + Pr(X = 3) ... = p + p2+p3 ... is a geometric series with a = 1 and the value 1 subtracted from the series. See related links.
When do you have a geometric distribution?
A geometric distribution comes from a binary probability which does not have a set number of trials. It seeks to determine how many trials must be conducted before success is achieved. For example, instead of saying, "If I shoot the ball 5 times, what is my probability of success," a geometric probability would question, "How many times will I have to shoot the ball before I make a basket?"
Why geometric distribution only have a memory less property?
This is the only discrete distribution that is memoryless. (In the continuous case the exponential is memoryless.) It's the only one to have this property because it is the only one to count independent trials.
When apply geomatric distribution?
When you want to find the probability of something happening for the first time while repeating an experiment, you use the geometric distribution. For example, you are throwing a six-faced die and you are expecting the number '6' to be thrown for the first time.
What is geomet?
The hyper-geometric distribution is a discrete probability distribution which is similar (in some respects) to the binomial distribution. Suppose you have a population of N which contains R successes. The Binomial describes the probability of r successes in n draws out on N with replacement.However, in many situations the draw is not replaced. In this case you get the hyper-geometric distribution.The function is given by:Prob(r successes in n draws out of N) = RCr/[N-RCn-r * NCn]With the binomial distribution the probability of success remains constant (=R/N) throughout. With the hypergeometric, the numerator for success reduces by one after each successful outcome whereas the denominator reduces by one whatever the outcome.
Is Fibonacci arithmetic or geometric?
Geometric
