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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?"

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When there is a geometric distribution?

g


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.


What is the difference between Geometric and a Poisson probability distribution?

The geometric probability distribution models the number of trials needed to achieve the first success in a series of independent Bernoulli trials, with a constant probability of success on each trial. In contrast, the Poisson probability distribution represents the number of events occurring in a fixed interval of time or space, given a constant average rate of occurrence and independence of events. Essentially, the geometric distribution focuses on the number of trials until the first success, while the Poisson distribution deals with the count of events happening within a specific period or area.


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.


What is geometric mixing?

Geometric mixing is a concept in probability theory and statistics that describes the process by which a mixture of distributions converges to a uniform distribution over time. This phenomenon often occurs in Markov chains, where the state space is partitioned into different regions, and the dynamics of the system cause the distribution of states to become more spread out and smooth. As mixing progresses, the probability distribution approaches a stationary distribution, often leading to more uniformity in the sampled outcomes. This concept is important in various applications, including statistical mechanics and the analysis of randomized algorithms.


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.

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