Journal Vol – 18 No -3, March 2023

AN EXTENDED STUDY TO DETERMINE THE BEST LOSS FUNCTIONS FOR ESTIMATING THE EXPONENTIAL DISTRIBUTION PARAMETER UNDER JEFFERY AND GAMMA PRIORS

Authors:

Zainab Falih Hamza, Laith Fadhil S. H, Firas Monther Jassim

DOI NO:

https://doi.org/10.26782/jmcms.2023.03.00001

Abstract:

In this research, we compared the Bayesian estimators when estimating the scale parameter for the exponential distribution by using different loss functions under Jeffrey and Gamma priors, as most of the available symmetric and asymmetric loss functions were used, also the balanced and unbalanced loss functions. The simulation results proved the advantage of balanced loss functions with the Gamma prior, and the effectiveness of the balanced loss functions when using Jeffrey prior especially if the value of the weighted coefficient is equal to 0.5, so it is possible to use initial estimators as maximum likelihood estimator to compensate for the lack of prior information around the parameter to be estimated, also the advantage of the balanced general entropy loss function and the balanced weighted square error loss function under Jeffrey prior when the value of the scale parameter for the exponential distribution is less than 1, the preference of the balanced weighted square error loss function and the balanced K loss function if the value of the scale parameter for the exponential distribution is equal to 1, and the preference for the AL-Sayyad balanced loss function and the balanced AL-Bayyati loss function if the value of the scale parameter for the exponential distribution is greater or equal to 2.

Keywords:

Bayes Method,Unbalanced Loss Functions,Balanced Loss Functions,Exponential Distribution,

Refference:

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BOUNDARY CONDITION ON THE CONVECTION PROCESS INVOLVING NANOFLUIDS

Authors:

Probhas Bose, Asish Mitra

DOI NO:

https://doi.org/10.26782/jmcms.2023.03.00002

Abstract:

The present numerical investigation deals with the laminar natural convection flow of a nanofluid along an isothermal vertical plate. As indicated by the Boungiorno model [V], nanofluid is considered a two-part combination (base liquid in addition to nanoparticles) where the impacts of Brownian movement and thermophoresis are significant. The boundary condition on the fluid flow is new: the nanoparticle volume fraction at the plate is passively controlled by assuming that its flux there is zero. The outcome of the present study with this new boundary condition is in better agreement with the practical applications of nanofluids.

Keywords:

Isothermal Vertical Plate,Natural Convection,NanoFluid,Brownian Motion,Thermophoresis,

Refference:

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Optical Multiplexer

Authors:

Dilip Kumar Gayen

DOI NO:

https://doi.org/10.26782/jmcms.2023.03.00003

Abstract:

In this paper, we present an all-optical multiplexer based on a Terahertz Optical Asymmetric Demultiplexer (TOAD) device. The TOAD is used as a nonlinear optical switch to selectively route optical signals based on their wavelength or frequency, allowing for the multiplexing of multiple optical channels onto a single fiber optic cable. We describe the design and implementation of the TOAD-based multiplexer, including the optical components and signal processing algorithms used to achieve high-speed, low-error-rate operation. We also present experimental results demonstrating the performance of the multiplexer, including its ability to maintain signal quality over long distances and under various noise and interference conditions. Our results show that the TOAD-based multiplexer offers a promising approach to all-optical multiplexing for high-speed, high-capacity optical communications systems.

Keywords:

Optical Multiplexer,Nonlinear optics,Optical communications,TOAD-based switches.,

Refference:

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