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It is very frequently used in statistics. First of all, multiplying a Chi-square random variable by a constant you obtain a Gamma random variable. So, for example, most estimates of variance obtained in inferential statistics have a Gamma distribution. The Gamma distribution can also be obtained by summing exponential random variables. So, the Gamma distribution pops out in models where the exponential distribution is used (e.g. reliability, credit risk). It is also used for internet traffic modeling.
See the StatLect entry (link below) for an introduction.
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About the history of gamma distribution?
According to the links, Karl Pearson was first to formally introduce the gamma distribution. However, the symbol gamma for the gamma function, as a part of calculus, originated far earlier, by Legrenge (1752 to 1853). The beta and gamma functions are related. Please review the related links, particularly the second one from Wikipedia.
What was the motivation for introducing the Gamma distribution?
It can be thought of as a generalization of the Chi-square distribution. See the link to a related WikiAnswer question below.
Why is it necessary to use a continuity correction when using a normal distribution to approximate a binomial distribution?
It is necessary to use a continuity correction when using a normal distribution to approximate a binomial distribution because the normal distribution contains real observations, while the binomial distribution contains integer observations.
What is lambda in statistics?
Lamdba (like most Greek letters in statistics) usually denotes a parameter of a distribution (usually of Poisson, gamma or exponential distributions). This will specify the entire distribution and allow for numerical analysis of the probability generating, moment generating, probability density/mass, distribution and/or cumulant functions (along with all moments), as and where these are defined.
The most commonly used greek letters in statistics?
I'll give you some common Greek symbols used in statistical analyses. I can't tell you which is the most common one given the enormous task of reviewing every statistics book. The Greek mu for mean, sigma for variance and rho for correlation are probably the first ones that one encounters in statistical analyses. Also, beta for beta distribution, gamma for gamma distribution, chi for chi-squared distribution. Alpha and beta are common as distribution parameters. In derivations, delta is common for differences of variables. Tau is common for a time variable. You will find more information in the related link.
What is the difference between Gamma distribution and Central limit theorem?
There is abig difference between them..gamma is a distribution but central limit theorm is just like a method or technique u use to approximate gamma to another distriution which is normal....stupid
Where can I read an introduction to the Gamma distribution?
Answer 1) Look up Gamma distribution in say Wikipedia or an on-line encyclopedia. This is not a simple subject.Answer 2) The Gamma distribution is essentially a generalization of the Chi-square distribution. Multiplying a Chi-square random variable by a positive constant you get a Gamma random variable. See also the introduction to the Gamma random variable on statlect.com (see link below).
About the history of gamma distribution?
According to the links, Karl Pearson was first to formally introduce the gamma distribution. However, the symbol gamma for the gamma function, as a part of calculus, originated far earlier, by Legrenge (1752 to 1853). The beta and gamma functions are related. Please review the related links, particularly the second one from Wikipedia.
Why do we use gamma ray machine?
We use a gamma ray machine to find out where the gamma rays are and where they are pointed to. We also use these machines to study a gamma ray.
What was the motivation for introducing the Gamma distribution?
It can be thought of as a generalization of the Chi-square distribution. See the link to a related WikiAnswer question below.
What are examples of Gamma distribution in real life?
Waiting time until failure. Modelling insurance claims.
How do humans use gamma ray energy?
The typical use for human-generated gamma radiation is in medical procedures, such as the "gamma knife" cancer therapy treatments.
What is one use of gamma rays?
One use of gamma rays is in cancer treatment, where they can be directed at cancer cells to destroy them.
What is the definition of Commercial Distribution?
The definition of commercial distribution is USE Economic distribution. It is any distribution of human drugs with the exception of the use for investigational use. The term refers to distribution of devices meant for human use.
When do you use nomial distribution?
Never, because there is no such distribution.
How does a gamma scan work?
A gamma scan works by using a gamma camera to detect and capture the gamma radiation emitted by a radioactive substance inside the body. The camera creates images based on the distribution of the radiation, helping to identify any abnormalities or areas of interest, such as tumors or infections. The scan is non-invasive and provides detailed information about the structure and function of organs or tissues.
Which radiation would you use to check for leaks in pipes?
You would use a gamma radiation source to check for leaks in pipes. Gamma radiation can penetrate materials, making it suitable for detecting leaks in pipes without damaging them.
