Introduction: exponential family, conjugacy, and sufficiency (9/2/13)
... • The exponential family is the only family of distributions for which conjugate priors exist, which simplifies the computation of the posterior. • They are the core of generalized linear models and variational methods, which we will learn about in this course. • Expectations are simple to compute, ...
... • The exponential family is the only family of distributions for which conjugate priors exist, which simplifies the computation of the posterior. • They are the core of generalized linear models and variational methods, which we will learn about in this course. • Expectations are simple to compute, ...
Probability Models - American Statistical Association
... Data analysis is concerned with studying the results of an investigation that has already taken place, with the hope of discovering some patterns in the data that might lead to new insights into the behavior of one or more variables. Probability is concerned with anticipating the future, with the ho ...
... Data analysis is concerned with studying the results of an investigation that has already taken place, with the hope of discovering some patterns in the data that might lead to new insights into the behavior of one or more variables. Probability is concerned with anticipating the future, with the ho ...
CS5263 Bioinformatics
... Conditional probability • The joint probability of two events A and B P(AB), or simply P(A, B) is the probability that event A and B occur at the same time. • The conditional probability of P(A|B) is the probability that A occurs given B occurred. P(A | B) = P(A B) / P(B) <=> P(A B) = P(A | B) ...
... Conditional probability • The joint probability of two events A and B P(AB), or simply P(A, B) is the probability that event A and B occur at the same time. • The conditional probability of P(A|B) is the probability that A occurs given B occurred. P(A | B) = P(A B) / P(B) <=> P(A B) = P(A | B) ...
Probabilistic Anomaly Detection in Energy Time Series Data
... guarantee practical results. The advantage of linear regression is that with dependent variables well defined, the technique is able to extract time series features (Magld, 2012). Lee and Fung (1997) show that linear and nonlinear regressions also can be used for outlier detection, but they used a 5 ...
... guarantee practical results. The advantage of linear regression is that with dependent variables well defined, the technique is able to extract time series features (Magld, 2012). Lee and Fung (1997) show that linear and nonlinear regressions also can be used for outlier detection, but they used a 5 ...
Important Distributions and Densities
... types of objects. (See Exercise 40.) If we let N and k tend to ∞, in such a way that the ratio k/N remains fixed, then the hypergeometric distribution tends to the binomial distribution with parameters n and p = k/N . This is reasonable because if N and k are much larger than n, then whether we choo ...
... types of objects. (See Exercise 40.) If we let N and k tend to ∞, in such a way that the ratio k/N remains fixed, then the hypergeometric distribution tends to the binomial distribution with parameters n and p = k/N . This is reasonable because if N and k are much larger than n, then whether we choo ...
Applied Statistics in Occupational Safety and Health
... Chapter 1 presents the more common terms and notation used in statistics. Proper design of research hypotheses and studies is described, as well as the procedures one should follow when selecting subjects for a study. A variety of sampling techniques are discussed, along with examples of appropriate ...
... Chapter 1 presents the more common terms and notation used in statistics. Proper design of research hypotheses and studies is described, as well as the procedures one should follow when selecting subjects for a study. A variety of sampling techniques are discussed, along with examples of appropriate ...
ECO 173 Chapter 10: Introduction to Estimation Lecture 5a
... point, (i.e. there is no repeated sampling involved, hence no sampling distribution analyzed) ...
... point, (i.e. there is no repeated sampling involved, hence no sampling distribution analyzed) ...