Introducing Skew Discrete Laplace

1.433 392


Abstract. In this paper, an appropriate substitution was introduced for distributing skew Laplace which had been achieved from rupturing continuous skew discrete Laplace. This distribution has been flexible and posses a closed form for probability function, distribution function, moment-generating function, characteristic function of probability, and other distribution features such as high expectation and variance. Here we deal with distribution properties like estimating parameters based on maximum likelihood, moments, moments modified and ratio method. We will determine CI for the parameters based on fisher and logic information matrix and then we will analyze necessary inference and hypothesis testing. We will use Monte Carlo stimulation method.


Skew discrete Laplace distribution, Fisher information matrix, Monte Carlo stimulation, maximum likelihood method

Full Text:



Kozubowski.T.J, Inusah.S, (2006), “A skew Laplace distribution on integers”, Annals of the Institute of Statistical Mathematics 58 (2006) 555–571.

Kozubowski.T.J, Nadarajah.S, (2010),”Multitude of Laplace distributions”, Statistical Papers 51 (2010) 127–148.

Krishnamoorthy.K, Lin.Y,(2010),” Confidence limits for stress–strength reliability involving Weibull models”, Journal of Statistical Planning and Inference 140 (2010) 1754–1764.

Nakagawa.T, Osaki.S, (1975),”The discrete Weibull distribution”, Transactions on Reliability 24 (1975) 300–301.

Roy.D, (2003), “The discrete normal distribution”, Communications in Statistics. Theory and Methods 32 (10) (2003) 1871–1883.

D. Roy.D, (2004),”Discrete Rayleigh distribution”, Transactions on Reliability 53 (2) (2004) 145-50.

D. Roy.D, Dasgupta.T, “A discretizing approach for evaluating reliability of complex systems under stress–strength model”, Transactions on Reliability 50 (2) (2001) 145-50.