## Statistical Inference

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Statistical inference through its topics such as Regression Analysis, Testing of Hypothesis, Probability distributions – Normal, Binomial, Poisson, Hyper geometric and Confidence Intervals has become one of the important and complex areas in Statistics. Our talented pool of Statistics experts, Statistics assignment tutors and Statistics homework tutors can cater to your entire needs in the area of Statistical inference theory such as Assignment Help, Homework Help, Project Paper Help and Exam Preparation Help. With well annotated usages of notes and literature reviews, our online statistics tutors offer you the premium quality solutions.

Following is the list of comprehensive topics in which we offer the quality solutions:

- Statistical tests of Hypotheses
- Null and Alternative hypotheses
- Types of Errors
- Critical Region
- Level of Significance
- Power and p-values
- Equality of two means
- A single variance and the equality of two variances
- Test of Significance of sample correlation coefficient (null case)
- Interval Estimation
- Confidence Interval and Confidence Coefficient
- Exact confidence interval under Normal set-up for a single mean
- Single variance
- Large Sample Tests
- Pearsonian x2 tests
- Homogeneity and independence in a contingency table
- Viewed on unbiasedness
- Neyman factorization theorem
- Minimal sufficient statistics
- Maximum likelihood method
- Method of moments
- Minimum chi square method
- Minimum variance unbiased estimators
- Rao- blackwell theorem
- Completeness
- lehman – scheffe’s necessary and sufficient condition for mbue
- Cramer – rao lower bound approach
- Bhattacharya’s system of lower bounds for a single parameter.
- One sample u statistics
- Two sample u statistics
- Asymptotic distributions of u statistics
- Umvue
- U statistics
- Rank test
- Locally most powerful rank test
- Linear rank statistics
- One sample location problem
- Sign test
- Signed rank test
- Two sample kolmogorov – smirnov tests
- Two sample location and scale problems
- Wilcoxon – mann – whitney tests. Krusal – wallis k sample tests
- Parametric models
- Point estimation
- Tests of hypotheses and interval estimation
- Likelihood Function
- Plotting likelihood functions
- Sufficiency
- Neymanfactorizability criterion
- Likelihood equivalence
- Minimal sufficient statistic
- Exponential families and Pitman families
- Invariance property of sufficiency under one-one transformation of sample space and parameter space
- Fisher information for one and several parameters models
- Maximum likelihood method
- Methods of moments choice of estimators based on unbiasedness,
- Minimum variance
- Mean squared error
- Minimum variance unbiased estimators
- Rao-Blackwell theorem
- Completeness
- Lehmann-Scheffe theorem
- Necessary and sufficient conditions for MVUE, Cramer – Rao lower bound approach
- Tests of Hypotheses
- Concepts of critical regions
- Test functions
- Two kinds of errors
- Size function
- Power function
- Level
- MP and UMP test
- Wald’s SPRT with prescribed errors of two types
- Neyman-Pearson Lemma
- MP test for simple null against simple alternative hypothesis
- UMP tests for simple null hypothesis against one-sided alternatives and for sided null
- Confidence level
- Construction of confidence intervals using pivots
- Shortest expected length confidence interval