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I presented my master’s project in October 2023. It was titled ‘Reliability Estimation in Series Systems: Maximum Likelihood Techniques for Right-Censored and Masked Failure Data’.
I've made my graduate coursework from SIUe's mathematics program available online, covering time series, regression, computational statistics, multivariate analysis, and statistical methods.
My R package for hypothesis testing, hypothesize, is now available on CRAN.
Extending masked failure data analysis when traditional C1-C2-C3 conditions are violated.
Most R packages hardcode specific likelihood models. likelihood.model provides a generic framework where likelihoods are first-class composable objects—designed to work seamlessly with algebraic.mle for maximum likelihood estimation.
R’s hypothesis testing functions are inconsistent—t.test() returns different structures than chisq.test(), making generic workflows painful. hypothesize provides a unified API so any test returns the same interface: p-value, test statistic, …
Problem sets for STAT 581 - Statistical Methods at SIUe, taught by Dr. Neath during Fall 2021.
An experiment is conducted to study the effect of fitness level on ego > strength. Random samples of college faculty members are selected from each
A randomized complete block design is used to study the effect of caliper on the measured diameters
An experiment is designed to investigate whether the time to drill holes in rock holes using wet or dry drilling.
A product developer is investigating the tensile strength of a new synthetic fiber that will be used to make cloth for men’s shirts.
An experiment is conducted to study the effect of drilling method on drilling time. Each method (dry drilling, wet drilling) is used on $n = 12$ rocks.
An experiment to compare a new drug to a standard is in the planning stages. The response variable of interest is the clotting time (in minutes) of blood
The insulating life of protective fluids at an accelerated load is being studied. The experiment has been performed for four types of fluids, with $n = 5$
A factorial experiment is used to develop a nitride etch process on a single wafer plasma etching tool.
A soft drink bottler is interested in studying the effects on a filling process. A factorial experiment is run using three factors: percent carbonation (in %),
A paired comparisons design is used to study the effect of machine operator on > the measured running time (in secs.) of a fuse. A sample of $n = 10$ fuses is
An experiment is designed to test for systematic differences in the hardness > measurements provided by two devices (fixed effect, factor $A$).
The surface finish of metal parts made on $a=4$ machines is under > investigation. > Each machine can be run by one of $b=3$ operators.
This problem set covers the E-M algorithm for right-censored normal data with known variance.
This problem set covers sampling from a Gamma distribution using Metropolis-Hastings and acceptance-rejection methods.
Most survival analysis forces you to pick from a catalog—Weibull, exponential, log-normal. dfr.dist flips this: you specify the hazard function directly, and it handles all the math.
Instead of choosing Weibull(shape, scale), you …
An R package treating MLEs as first-class algebraic objects with composable statistical properties.
Discrete multivariate analysis exam covering log-linear models and categorical data analysis.
Final exam for discrete multivariate analysis.
Problem set 10 for discrete multivariate analysis.
Problem set 5 for discrete multivariate analysis.
Problem set 6 for discrete multivariate analysis.
Problem set 7 for discrete multivariate analysis.
Problem set 8 for discrete multivariate analysis.
Problem set 9 for discrete multivariate analysis.
Problem sets for STAT 478 - Time Series Analysis at SIUe, taught by Dr. Beidi during Spring 2021.
Problem sets for STAT 579 - Discrete Multivariate Analysis at SIUe, taught by Dr. Andrew Neath during Spring 2021.
Time series analysis exam covering ARMA processes and model identification.
Time series analysis coursework.
Final exam for time series analysis course.
Problem set 3 for time series analysis.
Problem set 4 for time series analysis.
Problem set 5 for time series analysis.
Problem set 6 for time series analysis.
Time series analysis project.
Most statistical software treats probability distributions as static parameter sets you pass to sampling or density functions. algebraic.dist takes a different approach: distributions are algebraic objects that compose, transform, and combine using …
One of the best parts of my mathematics degree is deepening my R skills—not just using R packages, but building them.
R has a unique position in statistics: