International Journal of Applied Science

On Farm Performance Evaluation of Exotic Chickens in Central Tigray, Northern Ethiopia

Berhe Teklay — 2024-08-07

The study was carried out on two purposively selected districts of central zone of Tigray, viz., Mereb Leke and Tahtay Michew. The aim of the study was to evaluate the on-farm performance of three exotic chicken strains under the farmer condition. A total of 96 households (48 household per district) were participated and then the selected strains (Sasso Rhode Island Red, Kuroiler and Koekoek) were distributed. GLM procedure was used for the on-farm data analysis. Data collected during the entire study were, growth data, fertility and hatchability, egg production, weight and age at point of lay. Better overall average daily body weight gains were achieved from 12-16 and 16-20 weeks by kuroiler chicken strains with value of 10.29, 13.68 gram respectively. Egg at first lay of SRIR and Kuroiler strains were 23.69 and 25.25 weeks respectively. The overall average egg production in the study area was 63.36% which was scored by SRIR strain. According to this study, based on their fast-growing kuroiler strain and based on their egg production potential SRIR strain were recommended to the study area and like agro ecologies.

Ergodic Foundations of Langevin-Based MCMC

Ruoming Geng — 2024-09-05

In this work, we provide a comprehensive theoretical analysis of Langevin diffusion and its applications to Markov Chain Monte Carlo (MCMC) methods. We establish the ergodicity of continuous-time Langevin diffusion processes, proving their convergence to target distributions under suitable regularity conditions. The analysis is then extended to discrete-time settings, examining the properties of the Unadjusted Langevin Algorithm (ULA) and the Metropolis-Adjusted Langevin Algorithm (MALA). Employing tools from stochastic processes, ergodic theory, and Markov chain theory, we establish strong convergence results using Foster-Lyapunov drift conditions, coupling arguments, and geometric ergodicity. The paper explores connections between Langevin diffusion and optimal transport theory, highlighting recent developments in adaptive methods, transport map accelerated MCMC, and applications to high-dimensional Bayesian inference. Our theoretical results provide insights into algorithm design, parameter tuning, and convergence diagnostics for Langevin-based MCMC methods, bridging the gap between theory and practice in the development of efficient sampling algorithms for complex probability distributions.