Asymmetric power distribution: Theory and applications to risk measurement

Power Normal-Geometric Distribution: Model, Properties and Applications

In this paper, we introduce a new skewed distribution of which normal and power normal distributions are two special cases. This distribution is obtained by taking geometric maximum of independent identically distributed power normal random variables. We call this distribution as the power normal--geometric distribution. Some mathematical properties of the new distribution are presented. Maximu...

Asymmetric Uniform-Laplace Distribution‎: ‎Properties and Applications

‎The goal of this study is to introduce an Asymmetric Uniform-Laplace (AUL) distribution‎. ‎We present a detailed theoretical description of this distribution‎. ‎We try to estimate the parameters of AUL distribution using the maximum likelihood method‎. ‎Since the likelihood approach results in complicated forms‎, ‎we suggest a bootstrap-based approach for es...

Applications of subordination theory to starlike functions

Let $p$ be an analytic function defined on the open unit disc $mathbb{D}$ with $p(0)=1.$ The conditions on $alpha$ and $beta$ are derived for $p(z)$ to be subordinate to $1+4z/3+2z^{2}/3=:varphi_{C}(z)$ when $(1-alpha)p(z)+alpha p^{2}(z)+beta zp'(z)/p(z)$ is subordinate to $e^{z}$. Similar problems were investigated for $p(z)$ to lie in a region bounded by lemniscate of Bernoulli $|w^{2}-1|=1$ ...

Optical Elastography: From Theory to Clinical Applications

Islanding Detection and Frequency Circuit Measurement by Power Distribution Relation Depending on the Angle

This paper presents a new islanding detection method based on the difference of the power transfer angle between the distributed generation and local load. After islanding, current id and iq will be changed by adding the variation to d_q transformation block of current. This makes voltage and frequency disturbance and therefore islanding is recognized. Active islanding detection method usually ...