Sorting Fractions Under Uncertainty & Estimating the Number of Buses: Bayesian vs. Likelihood Approaches
2025-08-18
This article tackles two statistical problems: sorting fractions under uncertainty and estimating the number of buses based on limited observations. For fraction sorting, Bayesian (using Beta distribution) and likelihood approaches are presented and demonstrated in R. For bus estimation, a probability density function based on the multinomial distribution is constructed, and a likelihood approach is used to derive a confidence interval for the number of buses. Both problems cleverly combine statistical modeling and computational methods, showcasing the flexibility and practicality of statistical inference.
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