Journal of The Taiwan Institute of Chemical Engineers, May 1, 2021
Abstract This paper investigates the entropy generation in a thin film fluid flow along a heated ... more Abstract This paper investigates the entropy generation in a thin film fluid flow along a heated inclined substrate. The free end of the thin film is assumed to be exposed to adiabatic condition. The mathematical formulation for the fluid and heat flow leads to a dimensionless Boundary Value Problem (BVP) together with a partial differential equation (PDE). The exact solution of the BVP problem was obtained and the analytical solution for the PDE was obtained with the use of separation of variables. These solutions were used to profile the entropy generation in the thin film flow. The result earlier obtained in the absence of porous permeability was validated as a special case of the work and our contributions to knowledge were highlighted in the porous substrate case.
This article focused on the use of generalized Gamma distribution as conjugate prior with Poisson... more This article focused on the use of generalized Gamma distribution as conjugate prior with Poisson and generalized Poisson likelihoods to handle dispersion in small samples. Based on this conjugacy, Poisson-Generalized Gamma model (PGG) and Generalized Poisson-Generalized Gamma model (GPGG) are developed for Bayesian disease mapping and compared with the existing Poisson-Gamma model. The efficiency of these models was investigated using both simulated and real data applications. The deviance information criterion (DIC), dispersion test (DT), Monte Carlo error (MCE) and relative efficiency (reff) were used for comparison. All indicated that GPGG model provided the best precision and model efficiency to handle dispersion and relative risk estimation for disease mapping in small and large samples under uncontaminated and contaminated data. Thus, GPGG and PGG models served as alternative models in providing reliable mapping of diseas
Quality and Reliability Engineering International, May 25, 2021
In this paper, charts based on robust scale estimators (known as and estimators) are proposed, an... more In this paper, charts based on robust scale estimators (known as and estimators) are proposed, and the performance of control charts based on median absolute deviation (MAD) is compared with those based on some alternatives to MAD, which do not need any location estimate, for normal, skewed, and heavily tailed distributions. MAD is often used as a substitute for standard deviation in constructing control charts due to its robustness. Three alternatives to MAD namely the Sn, Qn, and Downton (D) are considered in this paper as location‐free estimators. A simulation study was carried out to appraise the performance of the control charts based on the MAD, , , and D estimators. The average run length (ARL), median run length (MRL), standard deviation run length (SDRL), and control limits interval (CLI) were used to assess the performance of the four control charts. The results showed that MAD, , and D are suitable estimators for standard deviation for mean charts while and are suitable estimators for standard deviation for dispersion charts for skewed and heavily tailed distributions.
Journal of The Taiwan Institute of Chemical Engineers, May 1, 2021
Abstract This paper investigates the entropy generation in a thin film fluid flow along a heated ... more Abstract This paper investigates the entropy generation in a thin film fluid flow along a heated inclined substrate. The free end of the thin film is assumed to be exposed to adiabatic condition. The mathematical formulation for the fluid and heat flow leads to a dimensionless Boundary Value Problem (BVP) together with a partial differential equation (PDE). The exact solution of the BVP problem was obtained and the analytical solution for the PDE was obtained with the use of separation of variables. These solutions were used to profile the entropy generation in the thin film flow. The result earlier obtained in the absence of porous permeability was validated as a special case of the work and our contributions to knowledge were highlighted in the porous substrate case.
This article focused on the use of generalized Gamma distribution as conjugate prior with Poisson... more This article focused on the use of generalized Gamma distribution as conjugate prior with Poisson and generalized Poisson likelihoods to handle dispersion in small samples. Based on this conjugacy, Poisson-Generalized Gamma model (PGG) and Generalized Poisson-Generalized Gamma model (GPGG) are developed for Bayesian disease mapping and compared with the existing Poisson-Gamma model. The efficiency of these models was investigated using both simulated and real data applications. The deviance information criterion (DIC), dispersion test (DT), Monte Carlo error (MCE) and relative efficiency (reff) were used for comparison. All indicated that GPGG model provided the best precision and model efficiency to handle dispersion and relative risk estimation for disease mapping in small and large samples under uncontaminated and contaminated data. Thus, GPGG and PGG models served as alternative models in providing reliable mapping of diseas
Quality and Reliability Engineering International, May 25, 2021
In this paper, charts based on robust scale estimators (known as and estimators) are proposed, an... more In this paper, charts based on robust scale estimators (known as and estimators) are proposed, and the performance of control charts based on median absolute deviation (MAD) is compared with those based on some alternatives to MAD, which do not need any location estimate, for normal, skewed, and heavily tailed distributions. MAD is often used as a substitute for standard deviation in constructing control charts due to its robustness. Three alternatives to MAD namely the Sn, Qn, and Downton (D) are considered in this paper as location‐free estimators. A simulation study was carried out to appraise the performance of the control charts based on the MAD, , , and D estimators. The average run length (ARL), median run length (MRL), standard deviation run length (SDRL), and control limits interval (CLI) were used to assess the performance of the four control charts. The results showed that MAD, , and D are suitable estimators for standard deviation for mean charts while and are suitable estimators for standard deviation for dispersion charts for skewed and heavily tailed distributions.
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Papers by Kayode Adekeye