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How do you derive the mean and variance for the Rayleigh distribution?
Wiki User
∙ 16y ago
Use the following integral to find the first and second moments. The mean is, of course, the first moment and the variance is the second moment minus the first moment squared. :<math>\int_{0}^{\infty} x^{n} e^{-ax^2}\,\mathrm{d}x =
\begin{cases}
\frac{1}{2}\Gamma \left(\frac{n+1}{2}\right)/a^{\frac{n+1}{2}} & (n>-1,a>0) \\
\frac{(2k-1)!!}{2^{k+1}a^k}\sqrt{\frac{\pi}{a}} & (n=2k, k \;\text{integer}, a>0) \\
\frac{k!}{2a^{k+1}} & (n=2k+1,k \;\text{integer}, a>0)
\end{cases} </math> (!! is the [[Double factorial]])
Wiki User
∙ 16y ago
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What properties distinguishes standard normal distribution from other normal distribution?
The normal distribution can have any real number as mean and any positive number as variance. The mean of the standard normal distribution is 0 and its variance is 1.
Are the mean and variance equal in the poisson distribution?
yes
Is in binomial distribution mean always greater then variance?
yes
1 The average of the squared deviation scores from a distribution mean?
Variance
What are the properties of z in a normal distribution?
Z is a variable with mean 0 and variance 1.Z is a variable with mean 0 and variance 1.Z is a variable with mean 0 and variance 1.Z is a variable with mean 0 and variance 1.
Which distribution function has equal mean and variance?
The exponential distribution and the Poisson distribution.
What is the different between standard normal distribution and normal distribution?
A normal distribution can have any value for its mean and any positive value for its variance. A standard normal distribution has mean 0 and variance 1.
What properties distinguishes standard normal distribution from other normal distribution?
The normal distribution can have any real number as mean and any positive number as variance. The mean of the standard normal distribution is 0 and its variance is 1.
Are the mean and variance equal in the poisson distribution?
yes
Relationship between rayleigh distribution and gaussian distribution?
If X and Y are independent Gaussian random variables with mean 0 and standard deviation sigma, then sqrt(X^2 + Y^2) has a Rayleigh distribution with parameter sigma.
What is the variance of the uniform distribution function?
the variance of the uniform distribution function is 1/12(square of(b-a)) and the mean is 1/2(a+b).
What are the parameters of normal distribution?
The mean and standard deviation.
How do you derive the mean of generalised pareto distribution?
To derive the mean of generalized Pareto distribution you must be good with numbers. You must be good in Calculus, Algebra and Statistics.
What is the Difference between normal and gaussian distribution?
Actually the normal distribution is the sub form of Gaussian distribution.Gaussian distribution have 2 parameters, mean and variance.When there is zero mean and unit variance the Gaussian distribution becomes normal other wise it is pronounced as Gaussian.Wrong! The standard normal distribution has mean 0 and variance 1, but a normal distribution is the same as the Gaussiand, and can have any mean and variance. Google stackexcange "what-is-the-difference-between-a-normal-and-a-gaussian-distribution"
Is continuous distribution normal distribution?
le standard normal distribution is a normal distribution who has mean 0 and variance 1
Is in binomial distribution mean always greater then variance?
yes
What are 2 properties of a Distribution Mean?
Standard deviation and variance
