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 and paste it in new browser window to get more information on Laplace Distribution:- http://www.transtutors.com/homework-help/statistics/laplace-distribution.aspx

1. Laplace Distribution

2. 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

3. 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 < ∞

4. Laplace Distribution

5. Laplace Distribution

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