17 best probability chung for 2022
All in all, we spent hundreds of hours combing through thousands of user reviews to put together a comprehensive list of the best probability chung on the market. We then delved into these probability chung further and put together detailed reviews so that you can easily pick the best probability chung for your needs.
Best probability chung
1. Galton Board
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In the Galton Board you may see: the Gaussian curve of the normal distribution, or bell-shaped curve; the central limit theorem (the de Moivre-Laplace theorem); the binomial distribution (Bernoulli distribution); regression to the mean; probabilities such as coin flipping and stock market returns; the law of frequency of errors; and what Sir Francis Galton referred to as the "law of unreason."Description
The Galton Board is 100% satisfaction guaranteed! The Galton Board is math in motion, demonstrating centuries-old mathematical concepts in an innovative desktop device. It incorporates Sir Francis Galton's (1822-1911) illustration of the binomial distribution, which for a large number of beads approximates the normal distribution. It also has a superimposed Pascal's Triangle (Blaise Pascal, 1623-1662), which is a triangle of numbers that follows the rule of adding the two numbers above to get the number below. The number at each peg represents the number of different paths a bead could travel from the top peg to that peg. The Fibonacci numbers (Leonardo Fibonacci, 1175-1250), can also be found as the sums of specific diagonals in the triangle. When rotated on its axis, the 3,000 beads cascade through rows of symmetrically placed pegs in the desktop-sized Galton Board. When the device is level, each bead bounces off the pegs with equal probability of moving to the left or right. As the beads settle into the bins at the bottom of the board, they accumulate in approximately a bell curve. Printed on the board are the bell curve, the average and standard deviation lines. The bell curve, also known as the Gaussian distribution (Carl Friedrich Gauss, 1777-1855), is important in statistics and probability theory. It is used in the natural and social sciences to represent random variables, like the beads in the Galton Board. The Galton Board is reminiscent of Charles and Ray Eames' groundbreaking 11-foot-tall "Probability Machine," featured at the 1961 Mathematica exhibit. An even larger Eames probability machine was showcased at IBM's Pavilion for the 1964 World's Fair in New York. Both the Galton Board and the superimposed Pascal's Triangle incorporate many related mathematical, statistical and probability concepts. Can you spot them all?2. A Course in Probability Theory, Third Edition
Description
Since the publication of the first edition of this classic textbook over thirty years ago, tens of thousands of students have used A Course in Probability Theory. New in this edition is an introduction to measure theory that expands the market, as this treatment is more consistent with current courses.
While there are several books on probability, Chung's book is considered a classic, original work in probability theory due to its elite level of sophistication.
3. A Course in Probability Theory, Second Edition (Probability and Mathematical Statistics, 21)
Description
This book contains about 500 exercises consisting mostly of special cases and examples, second thoughts and alternative arguments, natural extensions, and some novel departures. With a few obvious exceptions they are neither profound nor trivial, and hints and comments are appended to many of them. If they tend to be somewhat inbred, at least they are relevant to the text and should help in its digestion. As a bold venture I have marked a few of them with a * to indicate a "must", although no rigid standard of selection has been used. Some of these are needed in the book, but in any case the reader's study of the text will be more complete after he has tried at least those problems.4. Green, Brown, & Probability and Brownian Motion on the Line
Description
This invaluable book consists of two parts. Part I is the second edition of the author's widely acclaimed publication Green, Brown, and Probability, which first appeared in 1995. In this exposition the author reveals, from a historical perspective, the beautiful relations between the Brownian motion process in probability theory and two important aspects of the theory of partial differential equations initiated from the problems in electricity Green's formula for solving the boundary value problem of Laplace equations and the Newton-Coulomb potential.Part II of the book comprises lecture notes based on a short course on Brownian Motion on the Line which the author has given to graduate students at Stanford University. It emphasizes the methodology of Brownian motion in the relatively simple case of one-dimensional space. Numerous exercises are included.5. Markov Chains: With Stationary Transition Probabilities (Grundlehren der mathematischen Wissenschaften)
Description
From the reviews:J. Neveu, 1962 in Zentralblatt fr Mathematik, 92.Band Heft 2, p. 343: "Ce livre crit par l'un des plus minents spcialistes en la matire, est un expos trs dtaill de la thorie des processus de Markov dfinis sur un espace dnombrable d'tats et homognes dans le temps (chaines stationnaires de Markov)."
N.Jain, 2008 in Selected Works of Kai Lai Chung, edited by Farid AitSahlia (University of Florida, USA), Elton Hsu (Northwestern University, USA), & Ruth Williams (University of California-San Diego, USA), Chapter 1, p. 15: "This monograph deals with countable state Markov chains in both discrete time (Part I) and continuous time (Part II). [...] Much of Kai Lai's fundamental work in the field is included in this monograph. Here, for the first time, Kai Lai gave a systematic exposition of the subject which includes classification of states, ratio ergodic theorems, and limit theorems for functionals of the chain."
6. Elementary Probability Theory With Stochastic Processes. (Undergraduate Texts in Mathematics)
Description
Elementary Probability Theory with Stochastic Processes7. Elementary Probability Theory: With Stochastic Processes and an Introduction to Mathematical Finance (Undergraduate Texts in Mathematics)
Description
This book provides an introduction to probability theory and its applications. The emphasis is on essential probabilistic reasoning, which is illustrated with a large number of samples. The fourth edition adds material related to mathematical finance as well as expansions on stable laws and martingales.
From the reviews: "Almost thirty years after its first edition, this charming book continues to be an excellent text for teaching and for self study." -- STATISTICAL PAPERS
8. Markov Chains with Stationary Transition Probabilities (Grundlehren der mathematischen Wissenschaften)
Description
The theory of Markov chains, although a special case of Markov processes, is here developed for its own sake and presented on its own merits. In general, the hypothesis of a denumerable state space, which is the defining hypothesis of what we call a "chain" here, generates more clear-cut questions and demands more precise and definitive an swers. For example, the principal limit theorem ( 1. 6, II. 10), still the object of research for general Markov processes, is here in its neat final form; and the strong Markov property ( 11. 9) is here always applicable. While probability theory has advanced far enough that a degree of sophistication is needed even in the limited context of this book, it is still possible here to keep the proportion of definitions to theorems relatively low. . From the standpoint of the general theory of stochastic processes, a continuous parameter Markov chain appears to be the first essentially discontinuous process that has been studied in some detail. It is common that the sample functions of such a chain have discontinuities worse than jumps, and these baser discontinuities play a central role in the theory, of which the mystery remains to be completely unraveled. In this connection the basic concepts of separability and measurability, which are usually applied only at an early stage of the discussion to establish a certain smoothness of the sample functions, are here applied constantly as indispensable tools.9. Complex Graphs and Networks (CBMS Regional Conference Series in Mathematics)
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Used Book in Good ConditionDescription
Through examples of large complex graphs in realistic networks, research in graph theory has been forging ahead into exciting new directions. Graph theory has emerged as a primary tool for detecting numerous hidden structures in various information networks, including Internet graphs, social networks, biological networks, or, more generally, any graph representing relations in massive data sets. How will we explain from first principles the universal and ubiquitous coherence in the structure of these realistic but complex networks? In order to analyze these large sparse graphs, we use combinatorial, probabilistic, and spectral methods, as well as new and improved tools to analyze these networks. The examples of these networks have led us to focus on new, general, and powerful ways to look at graph theory. The book, based on lectures given at the CBMS Workshop on the Combinatorics of Large Sparse Graphs, presents new perspectives in graph theory and helps to contribute to a sound scientific foundation for our understanding of discrete networks that permeate this information age.10. Sample Size Calculations in Clinical Research (Chapman & Hall/CRC Biostatistics Series)
Description
Praise for the Second Edition:
" this is a useful, comprehensive compendium of almost every possible sample size formula. The strong organization and carefully defined formulae will aid any researcher designing a study." -Biometrics
"This impressive book contains formulae for computing sample size in a wide range of settings. One-sample studies and two-sample comparisons for quantitative, binary, and time-to-event outcomes are covered comprehensively, with separate sample size formulae for testing equality, non-inferiority, and equivalence. Many less familiar topics are also covered " Journal of the Royal Statistical Society
Sample Size Calculations in Clinical Research, Third Edition presents statistical procedures for performing sample size calculations during various phases of clinical research and development. A comprehensive and unified presentation of statistical concepts and practical applications, this book includes a well-balanced summary of current and emerging clinical issues, regulatory requirements, and recently developed statistical methodologies for sample size calculation.
Features:
- Compares the relative merits and disadvantages of statistical methods for sample size calculations
- Explains how the formulae and procedures for sample size calculations can be used in a variety of clinical research and development stages
- Presents real-world examples from several therapeutic areas, including cardiovascular medicine, the central nervous system, anti-infective medicine, oncology, and womens health
- Provides sample size calculations for dose response studies, microarray studies, and Bayesian approaches
This new edition is updated throughout, includes many new sections, and five new chapters on emerging topics: two stage seamless adaptive designs, cluster randomized trial design, zero-inflated Poisson distribution, clinical trials with extremely low incidence rates, and clinical trial simulation.
11. ThinkFun Zingo Bingo Award Winning Preschool Game for Pre-Readers and Early Readers Age 4 and Up - One of the Most Popular Board Games for Boys and Girls and their Parents, Amazon Exclusive Version
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WHAT YOU GET - This is the newest edition of the world famous game Zingo, and includes an extra Zingo card so that up to 7 players can play! Also includes a unique Zinger device that delights players of all ages.CLEAR INSTRUCTIONS - Easy to learn with a clear, high quality instruction manual. You can start playing immediately!
DEVELOPS CRITICAL SKILLS - Perfect for pre-readers and early readers, builds language and matching skills through fun, fast-paced play.
AWARD WINNER - Zingo has won many awards including an Oppenheim Gold, Parents' Choice Award, ASTRA Best Toys for Kids Award, and is a three time Toy of the Year Nominee.
Description
Zingo is one of ThinkFun's most popular and bestselling games, and is the winner of an Oppenheim Gold Award and Parents Choice Gold Award, among others. It's a fun pre-reading game for ages 4 and up, and is one of the best gifts you can buy for kids. Zingo is made with high quality components, and comes with a very clear and easy to understand instruction manual - you'll be able to play within minutes of opening the box. Like all of ThinkFun's games, Zingo is built to develop critical thinking skills. Playing will improve language skills through fun and fast placed play.12. Annie Chun's - Crispy Organic Seaweed, Sea Salt Flavor, Keto, Vegan, Gluten-Free, Dairy Free, No Preservatives or Cholesterol, Light & Airy Healthy Delicious Snacks, 0.16-Oz (Pack of 12)
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USDA organic savory Korean roasted seaweed snack - sea salt flavoredJust 25 calories per serving; Enjoy it anytime without feeling guilty!
Made specifically for snacking with premium ingredients, so delightful as-is! Also enjoyable with rice as traditionally done or other dishes as you like.
Non-GMO, gluten-free, vegan, dairy-free, no trans fat, no cholesterol, no preservatives
Made in USA. Product of Annie Chun's, the leader in delightful seaweed snacks and asian cuisine.
Description
As the pioneer of the seaweed snack, Annie Chun?s understands how tasty these lightly seasoned, roasted sheets of nori can satisfy the most serious snack craving. Our best-selling Korean seaweed is roasted to perfection and then seasoned with a dash of sea salt, creating perfect balance of sweet and savory.
Annie Chun's Brand
DELICIOUS, EASY-TO-PREPARE, ASIAN-INSPIRED DISHES THAT YOU CAN FEEL GOOD ABOUT. ?that?s our promise, and we don?t take it lightly. It?s what drives us each day to make our foods easier to enjoy and better for you, without sacrificing the vibrant aromas, flavors and textures that we all love.
13. Gamewright - SUPER MEGA LUCKY BOX - The Spectacularly Strategic Game of Probability, Plannning and a Touch of Luck! Cooperative, Excellent Multi-Player to Large Group Gameplay
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NEW - SUPER MEGA LUCKY BOX 2021 - The Latest Creation Pulled from the Mind of the Gameplay Wizard & Inventor of "Sushi Go!", Phil Walker-HardingGameplay Reimagined: SUPER MEGA LUCKY BOX was Creatively Designed for Fun, Not Size. Excellent for Single, Multi up to Large Group Play!
Box Contents: (60) Lucky Box Cards, (30) Lightning Tokens, (24) Moon Tokens, (18) Number Cards (Two Sets of 1-9), (6) Super Mega Scorecards, (6) Dry Erase Markers, (1) Lucky Box Card Guide
Proudly Brought to you by Gamewright!
14. LEARNING ADVANTAGE Six-Color Spinners - Set of 5 - Game Spinner Write On/Wipe Off Surface for Multiple Uses
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A HANDY RESOURCE -- Replace lost or broken board game spinners with these practical tools. Or, incorporate Six Color Spinners into home, school or daycare lessons.MANY APPLICATIONS -- Use Six Color Spinners to create your own games or make decisions. These write on/wipe off spinners are an easy way to assign chores, choose a dinner location or pick the next player.
SIX BRIGHT COLORS -- Use the colored sections to help kids visualize probability and random events. For younger kids, use the spinners to create engaging color, letter or number games.
A SIZE FOR ANY SETUP -- At 4, Six Color Spinners fit perfectly on tables and desks for any game environment. A great size for circle time, group games or individual use.
BUILT TO LAST -- Six Color Spinners are made of durable plastic meant to withstand hours of game time.
SET OF 5 -- Each order includes a pack of 5 spinners for plenty of group gameplay.
PRO TIP -- You can use a Vis-a-Vis Pen (wet erase) on these spinners to help keep your writing from coming off. Just use a wet paper towel or wet tissue to wipe off the Vis-a-Vis writing after use.
15. Introduction to Stochastic Integration (Probability and Its Applications)
16. Sample Size Calculations in Clinical Research (Chapman & Hall/CRC Biostatistics Series)
17. Gejoy 10 Pack Transparent Spinners Dry Erase Math Game Spinner with Rotating Arrow
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Package includes: 10 pieces clear plastic spinners with black rotating arrows, spinner's surface has a protective film, which helps protect and keep the clear surface away from scratches during shipping and collisionMaterial: made of clear flexible and quality plastic, the transparent material won't cover the words or handwriting, the arrow can be rotating at 360 degree without breaking easily
Size: square shape, each is 4 x 4 inches, enough space to divide in fourths, fifths, eighths and tenths by using dry-erase markers, divide accurately with some measurement tools, the surface is smooth and clear after ripping off the film
Functions: can be applied to various math and games in classroom, also can be adapted as choices maker in case of quarrel and consideration, also can act as a game tool for drinks, family gathering, camping, picnic, bar party, nightclub and more
Ways to use: the clear and smooth spinner is easy to write with wet-erase, convenient to reuse for many times by wiping off, also you can put it on top of the paper, the transparent spinner won't interfere with the functionality of reading the words from the paper
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