In this paper, we considered the half logistic model and derived a probability density function that generalized it. The cumulative distribution function, the $n^{th}$ moment, the median, the mode and the 100$k$-percentage points of the generalized distribution were established. Estimation of the parameters of the distribution through maximum likelihood method was accomplished with the aid of c...

In this paper, a new generalization of the half-normal distribution which is called the perturbed half-normal distribution is introduced. The new distribution belongs to a family of distributions which includes the half-normal distribution along with an extra parameter to regulate skewness. The probability density function (pdf) is derived and some various properties of the new distribution are...

Outliers are observations that significantly different from the other in a dataset. These types of asymmetric nature due to lack symmetry. The estimation cumulative distribution function (CDF) is an important statistical measure commonly discussed for symmetric datasets. However, CDF case dataset not much-explored topic. In this article, we use calibration methodology with auxiliary information...