Maximum-Likelihood

Master's Project: Reliability Estimation in Series Systems

My master's project on maximum likelihood estimation for series systems with right-censored and masked failure data.

The Loss Function Is a Distribution Assumption

Choosing a loss is choosing a distribution for your output. Why every supervised network is a maximum-likelihood estimator, and why the gradient is always the residual.

algebraic.dist

Algebra over Probability Distributions

algebraic.mle

Algebraic Maximum Likelihood Estimators

compositional.mle

Compositional Maximum Likelihood Estimation

likelihood.model

Likelihood-Based Statistical Inference in the Fisherian Tradition

Masked Failure Data: Looking Back, Looking Forward

A retrospective on three years of building R packages and writing papers for masked series system reliability, and what comes next.

Observation Functors: Composable Censoring for Series System Simulation

Observation functors in maskedcauses: composable functions that separate the data-generating process from the observation mechanism, enabling mixed-censoring simulation and verified Monte Carlo studies.

maskedcauses: Maximum Likelihood Estimation for Masked Series System Failures

The maskedcauses R package for MLE in series systems with masked component failures, built on composable likelihood contributions and validated through simulation.

Likelihood Models for Series Systems with Masked Component Failure Data: An R Package for Maximum Likelihood Estimation

mdrelax: When Masking Conditions Don't Hold

Extending masked failure data analysis when the standard C1-C2-C3 masking conditions are violated.

Closed-Form Results for Masked Exponential Series Systems

Closed-form MLEs and Fisher information for exponential series systems with masked failure data. No numerical optimization required.

Masked Causes of Failure in Series Systems: A Likelihood Framework

Reliability Estimation in Series Systems: Maximum Likelihood Techniques for Right-Censored and Masked Failure Data

Maximum likelihood estimation of component reliability from masked failure data in series systems, with BCa bootstrap confidence intervals validated through extensive simulation studies.

Reliability Estimation in Series Systems Maximum Likelihood Techniques for Right-Censored and Masked Failure Data

Reliability Estimation in Series Systems Maximum Likelihood Techniques for Right-Censored and Masked Failure Data

likelihood.model: Composable Likelihood Models in R

A generic R framework for composable likelihood models. Likelihoods are first-class objects that compose through independent contributions.

algebraic.mle: MLEs as Algebraic Objects

An R package that treats MLEs as algebraic objects. They carry Fisher information, compose through independent likelihoods, and propagate uncertainty correctly.