We consider the problem of inference about SKEWness parameter in SKEW-normal DISTRIBUTION and it's difficulties. An approximately maximum likelihood estimator that is based on some prior information is proposed. Finally the efficiency of proposed estimator is assessed both theoretically and by a simulation study.

This paper presents a new extension of Birnbaum-Saunders DISTRIBUTION based on SKEW Laplace DISTRIBUTION. Some properties of the new DISTRIBUTION are studied and the EM-type estimators of the parameters with their standard errors are obtained. Finally, we conduct a simulation study and illustrate our DISTRIBUTION by considering two real data example.

Simply supported bridges consisting of five I-section concrete girders are analyzed using the finite element method. The main parameters of this study are: girder spacing (1.8 to 2.7 meters), span length (25 to 35 meters), SKEW angle (0° to 60°) and different arrangements of internal transverse diaphragms. In this analysis, 3-dimensional decks are modeled for considering interaction between the structural elements of the decks, and consequently the DISTRIBUTION factor of design moment for various arrangements of internal diaphragms are obtained. The results are compared and the advantages of each arrangement with respect to the others are derived. Results of reliable analysis based on the finite element method show that in right bridges, AASHTO DISTRIBUTION factors are conservative and in SKEW bridges, these factors are very conservative, such that, in SKEW bridges with internal diaphragms perpendicular to longitudinal girders, DISTRIBUTION factors of external and internal girders are 37% and 45% less than their equivalents in AASHTO, respectively. At the end, the simple relations are proposed to determine design moment DISTRIBUTION factors of both external and internal girders for the decks with internal diaphragms perpendicular to longitudinal girders.

Purpose: To report a case of Joubert’ s syndrome with alternating SKEW deviation and lateral SKEW deviation. Case report: A 18-year-old girl was referred with the chief complaint of abnormal eye movements since infancy. Some degree of oculomotor apraxia was revealed as the girl had difficulties in initiating horizontal saccades and subsequent head thrust. Periodic alternating vertical misalignment of eyes was also evident, known as alternating SKEW deviation. After 3 to 5 seconds, the vertical divergence of the eyes reversed direction. Gaze to either side also resulted in hypertropia of abducting eye, known as lateral SKEW deviation. MRI demonstrated hypoplasia of superior cerebellar vermis along molar tooth signs associated with Joubert syndrome. Conclusion: This report shows that alternating SKEW deviation and lateral SKEW deviation can be manifestations of Joubert’ s syndrome.

In this study, the researchers introduce a new class of the logistic DISTRIBUTION which can be used to model the unimodal data with some SKEWness present. The new generalization is carried out using the basic idea of Nadarajah (Statistics 48(4): 872– 895, 2014), called truncated-exponential SKEW-logistic (TESL) DISTRIBUTION. The TESL DISTRIBUTION is a member of the exponential family; therefore, the SKEWness parameter can be derived easier. Meanwhile, some important statistical characteristics are presented; the real data set and simulation studies are applied to evaluate the results. Also, the TESL DISTRIBUTION is compared to at least five other SKEW-logistic DISTRIBUTIONs.

Here we consider a new class of SKEW logistic DISTRIBUTION as a generalized mixture of the standard logistic and SKEW logistic DISTRIBUTIONs, and study some of its important aspects.The tail behaviour of the DISTRIBUTION is compared with that of the SKEW logistic DISTRIBUTION and a location-scale extension of the DISTRIBUTION is proposed. Further the maximum likelihood estimation of the parameters of the extended class of DISTRIBUTION is attempted. The usefulness of the proposed class of DISTRIBUTION is illustrated with the help of a data set.

In this paper, we discuss a new generalization of univariate SKEW-Cauchy DISTRIBUTION with two parameters, we denoted this by GSC (l1, l 2), that it has more flexible than the SKEW-Cauchy DISTRIBUTION (denoted by SC (l)), introduced by Behboodian et al. (2006). Furthermore, we establish some useful properties of this DISTRIBUTION and by two numerical example, show that GSC (l1, l2) can fits the data better than SC (l).

In this paper, we discuss a generalization of Balakrishnan SKEW normal DISTRIBUTION with two parameters that contains the SKEW-normal, the Balakrishnan SKEW-normal and the two-parameter generalized SKEW-normal DISTRIBUTIONs as special cases. Furthermore, we establish some useful properties and two extensions of this DISTRIBUTION.