Open Access
Journal Article
Bayesian Methods in Statistical Inference
by
David Taylor
ORS 2019 1(1):2; 10.69610/j.ors.20190930 - 30 September 2019
Abstract
The paper delves into the conceptual underpinnings and practical applications of Bayesian methods within the realm of statistical inference. Bayesian statistics is a branch of statistics that employs probability theory to infer the likelihood of hypotheses. It is particularly valuable in situations where prior knowledge exists, and it allows for the incorporation of expert opin
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The paper delves into the conceptual underpinnings and practical applications of Bayesian methods within the realm of statistical inference. Bayesian statistics is a branch of statistics that employs probability theory to infer the likelihood of hypotheses. It is particularly valuable in situations where prior knowledge exists, and it allows for the incorporation of expert opinions and subjective beliefs into the analysis. The abstract outlines the evolution of Bayesian methods, starting from the historical roots to contemporary computational techniques. It emphasizes the advantages and limitations of Bayesian approaches compared to classical frequentist methods, such as their ability to update probabilities as new data becomes available and their flexibility in handling complex models. Case studies are presented to illustrate the applicability of Bayesian inference in various fields, including social sciences, medical research, and environmental studies. The paper concludes with a discussion on the future directions of Bayesian methods, highlighting the potential for greater integration with big data analytics and the ongoing debate surrounding the interpretation of Bayesian models.