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Simple Random Samples and Statistics (m23496)
Maintainers: Paul E Pfeiffer, Daniel Williamson, C. Sidney Burrus
Keywords: Matllab techniques, Population distribution, Population parameters, Random sample, Sample parameters, Sampling process, Statistic as estimator
Summary: The (simple) random sample, is basic to much of classical statistics. Once formulated, we may apply probability theory to exhibit several basic ideas of statistical analysis. A population may be most any collection of individuals or entities. Associated with each member is a quantity or a feature that can be ... population parameters.
Subject: Mathematics and Statistics
Language: English
Popularity: 81.92%
Revised: 2009-09-18
Revisions: 8
Minterms (m23247)
Maintainers: Paul E Pfeiffer, Daniel Williamson, C. Sidney Burrus
Keywords: applied probability, minterm expansion, minterm maps, minterms, minterm vectors, partitions
Summary: A fundamental problem is to determine the probability of a logical (Boolean) combination of a finite class of events, when the probabilities of certain other combinations are known. If we partition an event F into component events whose probabilities can be determined, then the additivity property implies the probability of ... orderly arrangement.
Subject: Mathematics and Statistics
Language: English
Popularity: 80.98%
Revised: 2009-09-18
Revisions: 8
Convergence and the central Limit Theorem (m23475)
Maintainers: Paul E Pfeiffer, Daniel Williamson, C. Sidney Burrus
Keywords: Convergence of sequences of random variables, Relationships between types of convergence, Weak law of large numbers
Summary: The central limit theorem (CLT) asserts that the sum of a large class of independent random variables, each with reasonable distributions,is approximately normally distributed. Various versions of this theorem have been studied intensively. On the other hand, certain common forms serve as the basis of an extraordinary amount of ... quite appropriate
Subject: Mathematics and Statistics
Language: English
Popularity: 80.92%
Revised: 2009-09-18
Revisions: 6
An Introduction to MATLAB: Loops and Control (m21392)
Author: Louis Scharf
Maintainers: Louis Scharf, Daniel Williamson, C. Sidney Burrus, Richard Baraniuk
Keywords: electrical engineering, engineering, MATLAB
Subject: Mathematics and Statistics
Language: English
Popularity: 80.58%
Revised: 2009-09-16
Revisions: 5
2008-'09 Open Education Cup: High Performance Computing (col10594)
Maintainers: Jan E. Odegard, Amy Kavalewitz, Charles Koelbel, C. Sidney Burrus, Jonathan Emmons, Katherine Fletcher, Connexions
Keywords: High Performance Computing, HPC, Open Education Resources, Parallel Programming
Summary: This collection provides an overview of the 2008-'09 Open Education Cup competition. Contest rules, author resources, and example content are provided. This competition is intended to encourage development of original educational content in the field of parallel computing, with cash prizes awarded to contest winners. Selected modules will be ... through Connexions.
Subject: Science and Technology
Language: English
Popularity: 80.55%
Revised: 2008-10-28
Revisions: 3
Matlab Procedures for Markov Decision Processes (m31095)
Maintainers: Paul E Pfeiffer, Daniel Williamson, Richard Baraniuk, C. Sidney Burrus, Jared Adler
Keywords: Alpha potential, Alpha-potential matrix, Costs and rewards, Decision policy, Discounting and potentials, Gain patterns, Long run averages, Markov chain, Matlab policy procedures, Matlab procedures w discounting, Next period gains, Policy iteration, Recurrence relation, State space
Summary: We first summarize certain essentials in the analysis of homogeneous Markov chains with costs and rewards associated with states, or with transitions between states. Then we consider three cases: a. Gain associated with a state; b. One-step transition gains; and c. Gains associated with a demand under certain reasonable ... of problems.
Subject: Mathematics and Statistics
Language: English
Popularity: 80.44%
Revised: 2009-09-18
Revisions: 7
Adaptive Quantization (m32074)
Maintainers: Phil Schniter, Daniel Williamson, Richard Baraniuk, C. Sidney Burrus, Jared Adler
Keywords: adaptive quantization, AQB, AQF, forgetting factor, learning period, non-stationary, uniform quantization
Summary: Motivated by the practical problem of non-stationary sources, adaptation of the uniform quantizer's stepsize is discussed. In particular, adaptive quantization based on forward estimation (AQF) and backward estimation (AQB) are discussed, in both block-based and recursive forms.
Subject: Mathematics and Statistics
Language: English
Popularity: 80.27%
Revised: 2009-09-22
Revisions: 2
Linear Algebra: Introduction (m21454)
Author: Louis Scharf
Maintainers: Louis Scharf, Daniel Williamson, C. Sidney Burrus, Richard Baraniuk
Keywords: electrical engineering, engineering, linear algebra
Subject: Mathematics and Statistics
Language: English
Popularity: 80.09%
Revised: 2009-09-16
Revisions: 7
Conditional Independence (m23258)
Maintainers: Paul E Pfeiffer, Daniel Williamson, C. Sidney Burrus
Keywords: Equivalent conditions, Independence techniques, Product rule, Replacement rule
Summary: The idea of stochastic (probabilistic) independence is approached as lack of conditioning: P(A|B)=P(A). This is equivalent to the product rule P(AB)=P(A)P(B). We consider an extension to conditional independence. Using the facts on repeated conditioning and the equivalent conditions for independence, we ... rule extends.
Subject: Mathematics and Statistics
Language: English
Popularity: 78.03%
Revised: 2009-09-18
Revisions: 8
Binary Codes: Hamming Codes for Channel Coding (m21403)
Author: Louis Scharf
Maintainers: Louis Scharf, Daniel Williamson, C. Sidney Burrus, Richard Baraniuk
Keywords: Binary codes, electrical engineering, engineering
Subject: Mathematics and Statistics
Language: English
Popularity: 77.68%
Revised: 2009-09-16
Revisions: 5
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