Statistical Inference Assignment help
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Topics covered by Statistical Inference assignment help:
- Graphical displays
- one- and two-sample confidence intervals
- one- and two-sample hypothesis tests
- one- and two-way ANOVA
- simple and multiple linear least-squares regression
- nonlinear regression
- variable selection
- logistic regression
- categorical data analysis
- goodness-of-fit tests
Few Topics are:
- random variables
- transformations, conditional expectation
- moment generating functions, convergence
- limit theorems, estimation
- Cramer-Rao lower bound, maximum likelihood estimation
- sufficiency, ancillarity, completeness
- Rao-Blackwell theorem. Hypothesis testing
- Neyman-Pearson lemma, monotone likelihood ratio
- likelihood-ratio tests, large-sample theory
- Contingency tables, confidence intervals, invariance
- Decision theory
- parametric statistics
elementary decision theory - Bayesian methods
- modes of convergence
- central limit theorems
- delta method, maximum likelihood estimation, regularity
- hypothesis testing
- fixed and local alternatives
- parametric efficiency theory
- Semiparametric and nonparametric estimation of irregular parameter
- minimax rates of convergence
- kernel methods
- bias-variance tradeoff,
- concentration inequalities
- empirical risk minimization
- Rademacher complexity
- Vapnik-Chervonenkis dimension
- empirical process theory (Glivenko-Cantelli results).
- weak convergence, empirical process theory (Donsker results)
- asymptotic linearity, estimating equations
- U-statistics, functional delta method
- efficiency theory, construction of efficient estimators
