Abstract Water vapor supersaturation in the atmosphere is produced a variety of ways, including lifting parcel or via isobaric mixing parcels. However, irrespective mechanism production, water has typically been modeled as Gaussian distribution. In current theoretical and numerical study, nature by processes explored. The results from large eddy simulation model reveal distribution supersaturat...

An estimation problem of the mean µ of an inverse Gaussian distribution IG(µ, C µ) with known coefficient of variation c is treated as a decision problem with entropy loss function. A class of Bayes estimators is constructed, and shown to include MRSE estimator as its closure. Two important members of this class can easily be computed using continued fractions

Gaussian assumption is the most well-known and widely used distribution in many fields such as engineering, statistics and physics. One of the major reasons why the Gaussian distribution has become so prominent is because of the Central Limit Theorem (CLT) and the fact that the distribution of noise in numerous engineering systems is well captured by the Gaussian distribution. Moreover, feature...

There are several problems where it is very important to know whether the tested data are distributed according to the Gaussian law. At the detection of the hidden information within the digitized pictures (steganography), one of the key factors is the analysis of the noise contained in the picture. The incorporated noise should show the typically Gaussian distribution. The departure from the G...

We prove the three-dimensional Gaussian product inequality (GPI)E[X12X22m2X32m3]≥E[X12]E[X22m2]E[X32m3] for any centered random vector (X1,X2,X3) and m2,m3∈N. discover a novel moment ratio |E[X22m2+1X32m3+1]|E[X22m2X32m3], which implies 3D-GPI. The interplay between computing hard analysis plays crucial role in proofs.

pulse echo b - scan imaging systems have been used for years in medical diagnosis. the theroy of such systems have been investigated by several researchers. in this paper, we introduce a new model for b - scan imaging system based on gaussian type transducer. an imaging system is normally identified by its point response function. this function describes the image of a single physical point obj...

In this paper two new fading distributions, the α−η−μ Distribution and α−κ−μ Distribution, are presented. The α − η − μ distribution includes the α − μ, Nakagami-m, Nakagami-q, Weibull, Hoyt, Rayleigh, Exponential, and the OneSided Gaussian distributions as special cases. The α − κ − μ distribution includes the α − μ, Nakagami-m, Weibull, Rice, Rayleigh, Exponential, and the One-Sided Gaussian ...

If the Euclidean norm | · | is strongly concentrated with respect to a measure μ, the average distribution of an average marginal of μ has Gaussian asymptotics that captures tail behaviour. If the marginals of μ have exponential moments, Gaussian asymptotics for the distribution of the average marginal implies Gaussian asymptotics for the distribution of most individual marginals. We show appli...