of Statistics and Probability Asymptotic Distribution of One Order Statistic 21 3 Asymptotic Theory of Likelihood Ratio Test Statistics
Statistical asymptotics draws from a variety of sources including (but not restricted to) probability theory, analysis (e g Taylor's theorem), and of
Asymptotic theory (or large sample theory) aims at answering the question: what happens as we gather more and more data? In particular, given random sample,
The asymptotic theory of statistical inference is the study of how well we may succeed in this pursuit, in quantitative terms Any function of the data,
Review of probability theory, probability inequalities • Modes of convergence, stochastic order, laws of large numbers • Results on asymptotic normality
Asymptotic Theory of Statistics and Probability, Springer Serfling, R (1980) Approximation Theorems of Mathematical Statistics, John Wiley, New
To celebrate the 65th birthday of Professor Zhengyan Lin, an Inter- national Conference on Asymptotic Theory in Probability and Statistics
In Chapter 5, we derive exact distributions of several sample statistics based on a random sample of observations • In many situations an exact statistical
of Statistics and Probability 2 Metrics, Information Theory, Convergence, and Poisson Approxi- 21 3 Asymptotic Theory of Likelihood Ratio Test Statistics
Review of probability theory, probability inequalities • Modes of convergence, stochastic order, laws of large numbers • Results on asymptotic normality
Asymptotic Theory of Statistics and Probability, Springer Serfling, R (1980) Approximation Theorems of Mathematical Statistics, John Wiley, New York Shao , J