Metropolis–Hastings algorithm In statistics and in statistical physics, the Metropolis–Hastings algorithm is a Markov chain Monte Carlo (MCMC) method for obtaining a sequence of random samples from a probability distribution for which direct sampling is difficult. This sequence can be used to approximate the distribution (i.e., to generate a histogram), or to compute an integral (such as an expected value). Metropolis–Hastings and other MCMC algorithms are generally used for sampling from multi-dimensional distributions, especially when the number of dimensions is high. For single-dimensional distributions, other methods are usually available (e.g. adaptive rejection sampling) that can directly return independent samples from the distribution, and are free from the problem of auto-correlated samples that is inherent in MCMC methods. History[edit] The algorithm was named after Nicholas Metropolis, who was an author along with Arianna W. Intuition[edit] Metropolis algorithm . ), we will always accept the move. . where to
Introduction to Mathematical Thinking About the Course NOTE: For the Fall 2015 session, the course website will go live at 10:00 AM US-PST on Saturday September 19, two days before the course begins, so you have time to familiarize yourself with the website structure, watch some short introductory videos, and look at some preliminary material. The goal of the course is to help you develop a valuable mental ability – a powerful way of thinking that our ancestors have developed over three thousand years. Mathematical thinking is not the same as doing mathematics – at least not as mathematics is typically presented in our school system. School math typically focuses on learning procedures to solve highly stereotyped problems. Professional mathematicians think a certain way to solve real problems, problems that can arise from the everyday world, or from science, or from within mathematics itself. The course is offered in two versions. Course Syllabus Instructor’s welcome and introduction 1. 2. 3. 4. 5. 6. 7. 8. 9. Course Format
Normal vs. Binomial: What are the hallmarks and differences? vs. Binomial: What are the hallmarks and differences? (z) DISTRIBUTION The normal (z) distribution is a continuous distribution that arises in many natural processes. "Continuous" means that between any two data values we could (at least in theory) find another data value. For example, men's heights vary continuously and are the result of so many tiny random influences that the overall distribution of men's heights in is very close to normal. The bell-shaped normal curve has probabilities that are found as the area between any two z values. Not all natural processes produce normal distributions. Here are some example problems. The central limit theorem (CLT) says that the sampling distribution of xbar will approach a normal distribution, namely N(m, s/Ön), if the sample size is large. A binomial distribution is very different from a normal distribution, and yet if the sample size is large enough, the shapes will be quite similar. The requirements for a binomial distribution are Are you?
Plan Your Free Online Education at Lifehacker U: Spring Semester 2013 I know several do, and while I can't speak for all of them, the Saylor Foundation — and, full disclosure, I am employed by them — has three courses that carry portable credit recommendations, with more credit pathways in the works. The recommendation requires a proctored online exam, which can range from free to not-very-expensive depending on how you obtain a proctor. Search NCCRS from the homepage, or get in touch! I'm currently taking the Evolution class (and am enrolled for the Sci-fi class mentioned above) through Coursera. Generally, free classes do not award college credit, but I understand at least Coursera offers course completion certificates through the colleges that give the classes. Education Portal states on their site that their free programs are designed so you can take a test (all of which run between $75-100) for college credit. Look at Western Governors University, while not free.
Open Culture Universities with the Best Free Online Courses Free online courses are offered by real schools. Learn which courses are available, what topics they cover and which ones lead to real college credit. Online Courses for Credit All of the schools listed below are well-known universities with a variety of free online course offerings. Students who would like access to flexible online learning that can be used to earn college credit might want to consider Education Portal's courses on such areas as business, math, science, foreign languages, the social sciences and humanities. Business 103: Introductory Business Law - Survey the history of American law and the legal system before exploring the ins and outs of contract law, property law, labor law, sales and torts. Free Online Non-Credited Courses Carnegie Mellon University Carnegie Mellon University offers non-credit courses and materials through its free courseware program, the Open Learning Initiative. Massachusetts Institute of Technology (MIT) Tufts University University of Michigan
Anatomy & Physiology Anatomy & Physiology[Enter Course] You probably have a general understanding of how your body works. But do you fully comprehend how all of the intricate functions and systems of the human body work together to keep you healthy? By taking this course, you will begin to think and speak in the language of the domain while integrating the knowledge you gain about anatomy to support explanations of physiological phenomenon. Structure and function of the body, and the connection between the two.Homeostasis, the body’s natural tendency to maintain a stable internal environment.Levels of Organization, the major levels of organization in the human organism from the chemical and cellular levels to the tissues, organs and organ systems.Integration of Systems, concerning which systems are subsets of larger systems, and how they function together in harmony and conflict. In-Depth Description
Illinois State Board of Education Home Page I-STEM—University of Illinois at Urbana-Champaign Online Schools in Illinois : IL Colleges, Universities, & Degree Programs Adler School of Professional Psychology Accrediting Agency: North Central Association of Colleges and Schools, The Higher Learning Commission Address: 65 East Wacker Place, Suite 2100 Chicago, Illinois 60601 Contact: n/a Type of School: 4-year, Private not-for-profit Programs Offered: Master’s degree;Post-master’s certificate;Doctor’s degree Accepts dual credits: no Accepts life experience credits: yes Accepts AP credits: no Number of Students: 935 American College of Education Address: 20 North Wacker Drive, Suite 1776 Chicago, Illinois 60606 Type of School: 4-year, Private for-profit Programs Offered: Master’s degree Accepts life experience credits: no Number of Students: 3500 American InterContinental University Accrediting Agency: Accredited by the Higher Learning Commission, member of the North Central Association Address: 5550 Prairie Stone Pkwy., Suite 130 Hoffman Estates, IL 60192 Type of School: Private, 4-year Programs Offered: n/a Accepts dual credits: n/a Accepts life experience credits: n/a
ERICEC: Online Resources Links to Other Online Resources (alphabetical) If you are looking for information on a specific disability or gifted education topic, you may want to start with ERIC EC's FAQs, which are organized by topic. About.com The Access Board The ADA Information Center Adaptive Technology Resource Center Adolescent Health Transition Project Advocates for Children of New York Alliance for Technology Access (ATA) American Academy of Audiology American Alliance for Health, Physical Education, Recreation and Dance (AAPHERD) American Alliance for Theatre and Education American Art Therapy Association, Inc. American Association for Mental Retardation (AAMR) Arts Wire
InvestingChannel While Dan Brown fans are intimately familiar with the details of Conclave, there are those who have not studied Robert Langdon's every clue-busting eureka moment under a microscope. For them, the AP has this handy step-by-step guide for how a new pope is chosen. Traditionally, this flowchart if followed upon the death of the Pontiff, but following today's first papal resignation since 1415, it is time to apply a little of the "New Normal" to the Catholic church as well. The only unknown after reading the below flowchart should be how Diebold will rig the Cardinal vote so that a Goldman partner is elected. From AP: Electing a pope: conclave, oath, chimney smokePope Benedict XVI's resignation sets in motion a complex sequence of events to elect the next leader of the Roman Catholic Church.