Laplace Distribution | Statistics

transweb 1,259 views 6 slides Feb 07, 2017
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When we collect the data, it has some variables value with it. For better results from the collected data, we need to study these variables. For this, we need to analyze the probability which gives us the idea what the variable can do, by using a probability distribution. Copy the link given below a...


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Laplace Distribution

Laplace Distribution: Definition Introduced by Pierre-Simon Laplace It is a continuous probability distribution Also known as double exponential distribution or Gumbel distribution Govern the difference between the two identical distributed variable Increase of Laplace motion or a variance gamma process calculated over the time represents Laplace distribution A variable shows Laplace(μ, b) distribution when the density function is defined as

Laplace Distribution Cumulative Density function is given by F(x| θ,λ) = ( ½ ) exp (− |x− θ| / λ ) , when(x ≤ θ) , And F(x| θ,λ) = 1− 1 / 2 exp( − | θ − x| λ ) , when(x > θ) Contrary to the exponential, the Laplace is defined between the range −∞ < x < ∞

Laplace Distribution

Laplace Distribution

Hey Friends, This was just a summary on Laplace Distribution . For more detailed information on this topic, please type the link given below or copy it from the description of this PPT and open it in a new browser window. http://www.transtutors.com/homework-help/statistics/laplace-distribution.aspx