answersLogoWhite

0


Best Answer

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.

User Avatar

Wiki User

15y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: Relationship between rayleigh distribution and gaussian distribution?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Continue Learning about 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"


What is the relationship between the binomial expansion and binomial distribution?

First i will explain the binomial expansion


What does the normal probability density function describe?

A probability density function (pdf) for a continuous random variable (RV), is a function that describes the probability that the RV random variable will fall within a range of values. The probability of the RV falling between two values is the integral of the relevant PDF. The normal or Gaussian distribution is one of the most common distributions in probability theory. Whatever the underlying distribution of a RV, the average of a set of independent observations for that RV will by approximately Gaussian.


What is the benefit of knowing 3 standard deviations above and below the mean of data from a process?

If the process can be assumed to follow a Gaussian distribution then 99.7% of the outputs of the process will lie between those two limits. That may be of benefit in quality control if it is a production process.


What is the difference between a discrete and a continuous distribution?

A simple continuous distribution can take any value between two other values whereas a discrete distribution cannot.

Related questions

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"


What has the author Farag Abdel-Salam Attia written?

Farag Abdel-Salam Attia has written: 'On the distribution function of the interval between zero-crossings of a stationary Gaussian process' -- subject(s): Distribution (Probability theory), Gaussian processes


What is the difference between white noise and gaussian noise?

White noise is a type of signal that has a flat power spectral density across all frequencies, meaning that all frequencies have equal power. Gaussian noise refers to noise with a normal distribution in the time domain. While white noise has uniform power across all frequencies, Gaussian noise has a distribution of values that follows the Gaussian (bell-shaped) curve.


What is the relationship between population distribution and physical geography?

What is the relationship between physical geography and population.


Is there a relationship between the direction of the movement and distribution of earthquakes?

Volcanoes


What is the difference between white Gaussian noise and additive white Gaussian noise?

A Gaussian noise is a type of statistical noise in which the amplitude of the noise follows that of a Gaussian distribustion whereas additive white Gaussian noise is a linear combination of a Gaussian noise and a white noise (white noise has a flat or constant power spectral density).


What is a 10 point grading scale?

With a 10 point grading scale the results (of a test etc.) are given a value between 0 and 9 or 1 and 10. If the grading is "on a curve" than the distribution of the various grades is spread on a Gaussian normal distribution.


When use f distribution?

When studying the behaviour of the sum of independent, identically distributed (iid) Gaussian (normal) variables. The F-distribution is used mainly in the analysis of variance where the errors - between the observed value and those predicted by a model - are assumed to be iid Normal.


What the difference and relationship between a probability distribution and a probability function?

They are the same. The full name is the Probability Distribution Function (pdf).


Can you demonstrate how to calculate are underneath a probability distribution and between two data values of your choice?

If the distribution is discrete you need to add together the probabilities of all the values between the two given ones, whereas if the distribution is continuous you will need to integrate the probability distribution function (pdf) between those limits. The above process may require you to use numerical methods if the distribution is not readily integrable. For example, the Gaussian (Normal) distribution is one of the most common continuous pdfs, but it is not analytically integrable. You will need to work with tables that have been computed using numerical methods.


What is the relationship between the binomial expansion and binomial distribution?

First i will explain the binomial expansion


The area between z equals 0 and z equals 2.49 is?

The question does not specify what z is so this answer could be completely wrong. However, if the question is in the context of the standard Gaussian distribution, the answer is 0.493613 (to 6 dp)