Examples of using The poisson distribution in English and their translations into Vietnamese
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Suppose X has the Poisson distribution with mean λ.
Suppose X has the Poisson distribution with mean λ.
In Bayesian inference,the conjugate prior for the rate parameter λ of the Poisson distribution is the gamma distribution. .
The Poisson distribution, a discrete probability distribution. .
The Poisson distribution arises in connection with Poisson processes.
The Poisson distribution is a special case of the binomial distribution. .
Some historians of mathematics have argued that the Poisson distribution should have been called the Bortkiewicz distribution.[citation needed].
Use the Poisson distribution to describe the number of times an event occurs in a finite observation space.
For sufficiently large values of λ,(say λgt;1000), the normal distribution with mean λ, and variance λ,is an excellent approximation to the Poisson distribution.
Distribution, the Poisson distribution and the normal distribution. .
For sufficiently large values of λ,(say λgt;1000), the normal distribution with mean λ and variance λ(standard deviation\sqrt{\lambda})is an excellent approximation to the Poisson distribution.
All of the cumulants of the Poisson distribution are equal to the expected value λ.
The Poisson distribution can also be used for the number of events in other intervals such as distance, area or volume.
If the null hypothesis predicts(say) on average 9 counts per minute,then according to the Poisson distribution typical for radioactive decay there is about 41% chance of recording 10 or more counts.
Some have suggested that the Poisson distribution should have been named the"Bortkiewicz distribution.".
The Poisson distribution can be derived as a limiting case to the binomial distribution as the number of trials goes to infinity and the expected number of successes remains fixed.
There is a rule of thumb stating that the Poisson distribution is a good approximation of the binomial distribution if n is at least 20 and p is smaller than or equal to 0.05.
The Poisson distribution is sometimes called the law of small numbers because it is the probability distribution of the number of occurrences of an event that happens rarely but has very many opportunities to happen.
On the other hand,if the null hypothesis predicts 3 counts per minute(for which the Poisson distribution predicts only 0.1% chance of recording 10 or more counts) then the suitcase is not compatible with the null hypothesis, and there are likely other factors responsible to produce the measurements.
The Poisson distribution or Poisson law of small number is a discrete probability distribution that expresses the probability of a given number of events occurring in a fixed interval of time and/or space if these events occur with a known average rate and independently of the time since the last event.
A common application of the Poisson distribution is predicting the number of events over a specific time, such as the number of cars arriving at a toll plaza in 1 minute.
When the expected value of the Poisson distribution is 1, then Dobinski's formula says that the nth moment equals the number of partitions of a set of size n.
Poisson Distribution Term Definition.
Poisson Distribution- short version.