Combining the binomial theorem with probabilty

Topics: probability, binomial probability

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Oct 6, 2015
10/15

by
Tovey, Craig A.

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Title from cover

Topic: PROBABILITY.

An introduction to probability and some basic theory.

Topic: probability

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probability for engineers

Topic: probability

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Mathematics

Topic: Probability

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Aug 6, 2016
08/16

by
smee kamchann

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មេរៀនប្រូបាប៊ីលីតេសម្រាប់សិស្សវិទ្យាស្ថានបច្ចេកវិទ្យាកម្ពុជា ឆ្នាំទី២

Topic: Probability

London School of Hygiene & Tropical Medicine Library & Archives Service

Topic: Probability

Using the counting techniques to solve probability problems

Topic: probability

Using our counting techniques to solve probability problems.

Topic: probability

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10.0

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Gaussian Random Process

Topic: probability

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2.0

Dec 31, 2019
12/19

by
Ali Binazir

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This photo is an infographic showing the chance of you being alive. It calculates the odds that a certain sperm cell would meet a certain egg cell and create you, with many complications that make the odds of you being alive almost zero. The image looks messed up, but downloading it or clicking on it will fix the issue

Topic: Probability

Introducing the terms and basic ideas of probabiolity

Topic: probability

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Notes for probability and statistics

Topic: Probability

This course focuses on Modeling, quantification, and analysis of uncertainty by teaching random variables, simple random processes and their probability distributions, Markov processes, limit theorems, elements of statistical inference, and decision making under uncertainty. This course extends the discrete probability learned in the discrete math class. It focuses on actual applications, and places little emphasis on proofs. A problem set based on identifying tumors using MRI (Magnetic...

Topic: probability

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Probability paradox

Topic: Probability

Using tree diagrams to list the sample space.

Topic: probability

Putting the different ideas together in order to solve probability problems

Topic: probability

Using the counting techniques of pemutations and combinations to solve probability problems

Topic: probability

Title from cover

Topic: PROBABILITY.

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Probability-Project dumped with WikiTeam tools.

Topics: wiki, wikiteam, wikispaces, Probability-Project, probability-project,...

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Nov 14, 2013
11/13

by
Charles E. Leiserson

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Abstract: This tutorial teaches dynamic multithreaded algorithms using a Cilk-like [11, 8, 10] model. The material was taught in the MIT undergraduate class 6.046 Introduction to Algorithms as two 80-minute lectures. The style of the lecture notes follows that of the textbook by Cormen, Leiserson, Rivest, and Stein [7], but the pseudocode from that textbook has been �Cilki�ed� to allow it to describe multithreaded algorithms. The �rst lecture teaches the basics behind multithreading,...

Topics: Maths, Statistics and Probability, Probability, Mathematics

Source: http://www.flooved.com/reader/1567

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Nov 18, 2015
11/15

by
F. Smarandache

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In this paper one generalizes the classical probability and imprecise probability to the notion of “neutrosophic probability” in order to be able to model Heisenberg’s Uncertainty Principle of a particle’s behavior, Schrödinger’s Cat Theory, and the state of bosons which do not obey Pauli’s Exclusion Principle (in quantum physics). Neutrosophic probability is close related to neutrosophic logic and neutrosophic set, and etymologically derived from “neutrosophy”.

Topics: imprecise probability, neutrosophic probability, neutrosophic logic

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Nov 14, 2013
11/13

by
Erik Demaine

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Topics: Maths, Statistics and Probability, Probability, Mathematics

Source: http://www.flooved.com/reader/1568

754
754

Apr 22, 2014
04/14

by
shaunteaches

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A collection of worked examples and statistics and probability

Topics: ccss, statistics and probability, probability, statistics

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In this paper we introduce a new type of classical set called the neutrosophic classical set. After given the fundamental definitions of neutrosophic classical set operations, we obtain several properties, and discussed the relationship between neutrosophic classical sets and others. Finally, we generalize the classical probability to the notion of neutrosophic probability. This kind of probability is necessary because it provides a better representation than classical probability to uncertain...

Topics: Neutrosophic Probability, Neutrosophic Set, Probability Theory

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Nov 18, 2015
11/15

by
Florentin Smarandache

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In this paper one generalizes the classical probability and imprecise probability to the notion of “neutrosophic probability” in order to be able to model Heisenberg’s Uncertainty Principle of a particle’s behavior, Schrödinger’s Cat Theory, and the state of bosons which do not obey Pauli’s Exclusion Principle (in quantum physics). Neutrosophic probability is close related to neutrosophic logic and neutrosophic set, and etymologically derived from “neutrosophy”.

Topics: imprecise probability, neutrosophic probability, neutrosophic logic

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Jun 29, 2018
06/18

by
Roberto I. Oliveira; Rodrigo B. Ribeiro; Remy Sanchis

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The Holme-Kim random graph processes is a variant of the Barabasi-Albert scale-free graph that was designed to exhibit clustering. In this paper we show that whether the model does indeed exhibit clustering depends on how we define the clustering coefficient. In fact, we find that local clustering coefficient remains typically positive whereas global clustering tends to 0 at a slow rate. These and other results are proven via martingale techniques, such as Freedman's concentration inequality...

Topics: Probability, Mathematics

Source: http://arxiv.org/abs/1610.03817

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0.0

Jun 30, 2018
06/18

by
Alexey Kroshnin

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We consider the space $\mathcal{P}(X)$ of probability measures on arbitrary Radon space $X$ endowed with a transportation cost $J(\mu, \nu)$ generated by a nonnegative continuous cost function. For a probability distribution on $\mathcal{P}(X)$ we formulate a notion of average with respect to this transportation cost, called here the Fr\'echet barycenter, prove a version of the law of large numbers for Fr\'echet barycenters, and discuss the structure of $\mathcal{P}(X)$ related to the...

Topics: Probability, Mathematics

Source: http://arxiv.org/abs/1702.05740

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1.0

Jun 30, 2018
06/18

by
José Gregorio Gómez

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Drees and Rootz\'en [2010] have proven central limit theorems (CLT) for empirical processes of extreme values cluster functionals built from $\beta$-mixing processes. The problem with this family of $\beta$-mixing processes is that it is quite restrictive, as has been shown by Andrews [1984]. We expand this result to a more general dependent processes family, known as weakly dependent processes in the sense of Doukhan and Louhichi [1999], but in finite-dimensional convergence (fidis). We show...

Topics: Probability, Mathematics

Source: http://arxiv.org/abs/1404.4989

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Jun 30, 2018
06/18

by
Jan M. Swart

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We introduce a self-reinforced point processes on the unit interval that appears to exhibit self-organized criticality, somewhat reminiscent of the well-known Bak-Sneppen model. The process takes values in the finite subsets of the unit interval and evolves according to the following rules. In each time step, a particle is added at a uniformly chosen position, independent of the particles that are already present. If there are any particles to the left of the newly arrived particle, then the...

Topics: Probability, Mathematics

Source: http://arxiv.org/abs/1405.3609

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Jun 30, 2018
06/18

by
Fang Li; Lihu Xu

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By choosing some special (random) initial data, we prove that with probability $1$, the stochastic shadow Gierer-Meinhardt system blows up pointwisely in finite time. We also give a (random) upper bound for the blowup time and some estimates about this bound. By increasing the amplitude of the initial data, we can get the blowup in any short time with positive probability.

Topics: Probability, Mathematics

Source: http://arxiv.org/abs/1411.7135

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Jun 29, 2018
06/18

by
Bohdan Maslowski; Jana Šnupárková

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A stochastic affine evolution equation with bilinear noise term is studied where the driving process is a real-valued fractional Brownian motion. Stochastic integration is understood in the Skorokhod sense. Existence and uniqueness of weak solution is proved and some results on the large time dynamics are obtained

Topics: Probability, Mathematics

Source: http://arxiv.org/abs/1609.00582

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Jun 29, 2018
06/18

by
Raluca M. Balan; Maria Jolis; Lluís Quer-Sardanyons

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In this article, we consider the stochastic wave equation on the real line driven by a linear multiplicative Gaussian noise, which is white in time and whose spatial correlation corresponds to that of a fractional Brownian motion with Hurst index $H\in (\frac14,\frac12)$. Initial data are assumed to be constant. First, we prove that this equation has a unique solution (in the Skorohod sense) and obtain an exponential upper bound for the $p$-th moment of the solution, for any $p\geq 2$....

Topics: Probability, Mathematics

Source: http://arxiv.org/abs/1605.00024

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0.0

Jun 29, 2018
06/18

by
Péter Nándori; Zeyu Shen

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We prove that the local time process of a planar simple random walk, when time is scaled logarithmically, converges to a non-degenerate pure jump process. The convergence takes place in the Skorokhod space with respect to the $M1$ topology and fails to hold in the $J1$ topology.

Topics: Probability, Mathematics

Source: http://arxiv.org/abs/1603.07587

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Jun 28, 2018
06/18

by
Robert J. Vanderbei

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This paper extends earlier work on the distribution in the complex plane of the roots of random polynomials. In this paper, the random polynomials are generalized to random finite sums of given "basis" functions. The basis functions are assumed to be entire functions that are real-valued on the real line. The coefficients are assumed to be independent identically distributed Normal $(0,1)$ random variables. An explicit formula for the density function is given in terms of the set of...

Topics: Mathematics, Probability

Source: http://arxiv.org/abs/1508.05162

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Jun 27, 2018
06/18

by
Anja Janßen; Holger Drees

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We analyze the joint extremal behavior of $n$ random products of the form $\prod_{j=1}^m X_j^{a_{ij}}, 1 \leq i \leq n,$ for non-negative, independent regularly varying random variables $X_1, \ldots, X_m$ and general coefficients $a_{ij} \in \mathbb{R}$. Products of this form appear for example if one observes a linear time series with gamma type innovations at $n$ points in time. We combine arguments of linear optimization and a generalized concept of regular variation on cones to show that...

Topics: Mathematics, Probability

Source: http://arxiv.org/abs/1505.03325

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Jun 27, 2018
06/18

by
Sascha Bachmann; Matthias Reitzner

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Concentration inequalities for subgraph counts in random geometric graphs built over Poisson point processes are proved. The estimates give upper bounds for the probabilities $\mathbb{P}(N\geq M +r)$ and $\mathbb{P}(N\leq M - r)$ where $M$ is either a median or the expectation of a subgraph count $N$. The bounds for the lower tail have a fast Gaussian decay and the bounds for the upper tail satisfy an optimality condition. A special feature of the presented inequalities is that the underlying...

Topics: Probability, Mathematics

Source: http://arxiv.org/abs/1504.07404

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0.0

Jun 30, 2018
06/18

by
E. Ostrovsky; L. Sirota

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We obtain the quite exact exponential bounds for tails of distributions of sums of Banach space valued random variables uniformly over the number of summands under natural for the Law of Iterated Logarithm (LIL) norming. We study especially the case of the so-called mixed (anisotropic) Lebesgue-Riesz spaces, on the other words, Bochner's spaces, for instance, continuous-Lebesgue spaces, which appear for example in the investigation of non-linear Partial Differential Equations of evolutionary...

Topics: Probability, Mathematics

Source: http://arxiv.org/abs/1403.7884

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Jun 29, 2018
06/18

by
Stephen B. Connor; Richard Pymar

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We introduce a natural extension of the exclusion process to hypergraphs and prove an upper bound for its mixing time. In particular we show the existence of a constant $C$ such that for any connected hypergraph $G$ within some class (which includes regular hypergraphs), the $\varepsilon$-mixing time of the exclusion process on $G$ with any feasible number of particles can be upper-bounded by $CT_{\text{EX}(2,G)}\log(|V|/\varepsilon)$, where $|V|$ is the number of vertices in $G$ and...

Topics: Probability, Mathematics

Source: http://arxiv.org/abs/1606.02703

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1.0

Jun 26, 2018
06/18

by
Chang-Song Deng; René L. Schilling

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We present a Cameron--Martin type quasi-invariance theorem for subordinate Brownian motion. As applications, we establish an integration by parts formula and construct a gradient operator on the path space of subordinate Brownian motion, and we obtain some canonical Dirichlet forms. These findings extend the corresponding classical results for Brownian motion.

Topics: Mathematics, Probability

Source: http://arxiv.org/abs/1502.06107

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3.0

Jun 26, 2018
06/18

by
Shannon Starr; Meg Walters

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For a positive number $q$ the Mallows measure on the symmetric group is the probability measure on $S_n$ such that $P_{n,q}(\pi)$ is proportional to $q$-to-the-power-$\mathrm{inv}(\pi)$ where $\mathrm{inv}(\pi)$ equals the number of inversions: $\mathrm{inv}(\pi)$ equals the number of pairs $i\pi_j$. One may consider this as a mean-field model from statistical mechanics. The weak large deviation principle may replace the Gibbs variational principle for characterizing equilibrium measures. In...

Topics: Mathematics, Probability

Source: http://arxiv.org/abs/1502.03727

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Jun 28, 2018
06/18

by
Ruoting Gong; Christian Houdré; Jüri Lember

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We present a general approach to the problem of determining tight asymptotic lower bounds for generalized central moments of the optimal alignment score of two independent sequences of i.i.d. random variables. At first, these are obtained under a main assumption for which sufficient conditions are provided. When the main assumption fails, we nevertheless develop a "uniform approximation" method leading to asymptotic lower bounds. Our general results are then applied to the length of...

Topics: Mathematics, Probability

Source: http://arxiv.org/abs/1506.06067

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Jun 30, 2018
06/18

by
Xue-Mei Li

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We study random "perturbation" to the geodesic equation. The geodesic equation is identified with a canonical differential equation on the orthonormal frame bundle driven by a horizontal vector field of norm $1$. We prove that the projections of the solutions to the perturbed equations, converge, after suitable rescaling, to a Brownian motion scaled by ${\frac{8}{n(n-1)}}$ where $n$ is the dimension of the state space. Their horizontal lifts to the orthonormal frame bundle converge...

Topics: Probability, Mathematics

Source: http://arxiv.org/abs/1402.5861

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10.0

Jun 28, 2018
06/18

by
Vladislav Kargin

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We extend the result of Markus, Spielman, and Srivastava about the sum of rank-one symmetric random matrices to the case when the isotropy assumption on the random matrices is relaxed.

Topics: Mathematics, Probability

Source: http://arxiv.org/abs/1507.08594

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Jun 26, 2018
06/18

by
Christophe Profeta; Thomas Simon

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Using three hypergeometric identities, we evaluate the harmonic measure of a finite interval and of its complementary for a strictly stable real L{\'e}vy process. This gives a simple and unified proof of several results in the literature, old and recent. We also provide a full description of the corresponding Green functions. As a by-product, we compute the hitting probabilities of points and describe the non-negative harmonic functions for the stable process killed outside a finite interval.

Topics: Mathematics, Probability

Source: http://arxiv.org/abs/1501.03926

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Jun 26, 2018
06/18

by
Matyas Barczy

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We give some examples of random fields that can be represented as space-domain scaled stationary Ornstein-Uhlenbeck fields defined on the plane. Namely, we study a tied-down Wiener bridge, tied-down scaled Wiener bridges, a Kiefer process and so called (F,G)-Wiener bridges.

Topics: Mathematics, Probability

Source: http://arxiv.org/abs/1501.03717

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4.0

Jun 26, 2018
06/18

by
B. H. Jasiulis-Gołdyn; J. K. Misiewicz

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The paper gives some properties of hitting times and an analogue of the Wiener-Hopf factorization for the Kendall random walk. We show also that the Williamson transform is the best tool for problems connected with the Kendall generalized convolution.

Topics: Probability, Mathematics

Source: http://arxiv.org/abs/1501.05873