- Binomial Channel: On the Capacity-Achieving Distribution and Bounds on the Capacity
2024/01/23 by Ian Zieder, Antonino Favano, Zieder, Ian +5 · 3 citations
Decision Sciences · Engineering · Mathematics · #Binomial (polynomial) #Binomial distribution #Cardinality (data modeling) #Channel (broadcasting) #Channel capacity #Combinatorics #Computer science #Discrete mathematics #Distribution (mathematics) #FOS: Computer and information sciences #Information Theory (cs.IT) #Interval (graph theory) #Low-power high-performance VLSI design #Mathematical analysis #Mathematics #Order (exchange) #Probabilistic and Robust Engineering Design #Space (punctuation) #Statistical Distribution Estimation and Applications #Statistics #Telecommunications #Upper and lower bounds
- UNIQUENESS OF A MEDIAN OF A BINOMIAL DISTRIBUTION WITH RATIONAL PROBABILITY
2020/04/07 by Szymon Nowakowski · 1 citation
Mathematics · #Analytic Number Theory Research #Binomial (polynomial) #Binomial distribution #Certificate #Distribution (mathematics) #Mathematical functions and polynomials #Meromorphic and Entire Functions #Probability distribution #Uniqueness #math.PR
- Statistical Models for the Number of Successful Cyber Intrusions
2017/06/30 by Nandi O. Leslie, Nandi Leslie, Richard E. Harang +4 · 1 citation
Computer Science · Mathematics · #Binomial distribution #Computer science #Count data #Generalized linear model #Information and Cyber Security #Mathematics #Negative binomial distribution #Network Security and Intrusion Detection #Overdispersion #Poisson distribution #Poisson regression #Spam and Phishing Detection #Statistical model #Statistics #Variance (accounting) #cs.CR #stat.AP
- Concavity of some entropies
2015/12/08 by Ioan Rasa, Ioan Raşa, Rasa, Ioan · 1 citation
Mathematics · Physics and Astronomy · #Applied mathematics #Binomial (polynomial) #Binomial distribution #Classical Analysis and ODEs (math.CA) #Combinatorics #FOS: Mathematics #Fractional Differential Equations Solutions #Mathematics #Negative binomial distribution #Parameterized complexity #Physics #Poisson distribution #Principle of maximum entropy #Probability distribution #Rényi entropy #Statistical Distribution Estimation and Applications #Statistical Mechanics and Entropy #Statistical physics #Statistics #Tsallis entropy #Tsallis statistics #math.CA
- Type I error rate control for testing many hypotheses: a survey with proofs
2010/12/18 by Etienne Roquain, Étienne Roquain, Roquain, Etienne · 2 citations
Decision Sciences · Mathematics · #Binomial distribution #Computer science #Econometrics #FOS: Computer and information sciences #False discovery rate #Independence (probability theory) #Mathematical proof #Mathematics #Methodology (stat.ME) #Multiple comparisons problem #Optimal Experimental Design Methods #Quantile #Statistical Methods and Bayesian Inference #Statistical Methods in Clinical Trials #Statistical hypothesis testing #Statistics #Type I and type II errors #stat.ME
- Do not log‐transform count data
2010/03/24 by Robert B. O’Hara, D. Johan Kotze · 2 citations
Mathematics · Environmental Science · #Statistical Methods and Bayesian Inference #Soil Geostatistics and Mapping #Ecology and Vegetation Dynamics Studies #Count data #Negative binomial distribution #Poisson distribution #Quasi-likelihood #Statistics #Mathematics #Overdispersion #Binomial proportion confidence interval #Poisson regression #Zero-inflated model #Data set #Binomial distribution #Transformation (genetics) #Poisson binomial distribution #Sampling (signal processing) #Beta-binomial distribution #Computer science #Population
- Calculation Methods for Wallenius' Noncentral Hypergeometric Distribution
2008/02/01 by Agner Fog · 2 citations
Computer Science · Mathematics · #Bayesian Methods and Mixture Models #Statistical Methods and Bayesian Inference #Statistical Distribution Estimation and Applications #Hypergeometric distribution #Mathematics #Noncentral chi-squared distribution #Confluent hypergeometric function #Applied mathematics #Hypergeometric function #Binomial distribution #Mathematical analysis #Statistics #Ratio distribution #Asymptotic distribution
- Normal mixture diffusion with uncertain volatility: Modelling short- and long-term smile effects
2004/01/13 by Carol Alexander · 1 citation
Economics, Econometrics and Finance · Mathematics · #Binomial distribution #Econometrics #Economics #Financial Risk and Volatility Modeling #Implied volatility #Local volatility #Market Dynamics and Volatility #Mathematics #Physics #Statistics #Stochastic processes and financial applications #Term (time) #Volatility (finance) #Volatility smile
- hanalogue of Newton's binomial formula
1998/11/20 by H. B. Benaoum, H B Benaoum · 1 citation
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Advanced Mathematical Theories and Applications #Binomial (polynomial) #Binomial approximation #Binomial coefficient #Binomial distribution #Central binomial coefficient #Gaussian binomial coefficient #Multinomial distribution #math-ph #math.MP
- Approximate is Better than “Exact” for Interval Estimation of Binomial Proportions
1998/05/01 by Alan Agresti, Brent A. Coull · 1 voice · 154 citations
Mathematics · #Advanced Statistical Methods and Models #Binomial (polynomial) #Binomial distribution #Binomial proportion confidence interval #Combinatorics #Confidence interval #Coverage probability #Interval (graph theory) #Interval estimation #Mathematics #Negative binomial distribution #Nominal level #Poisson distribution #Sample (material) #Sample size determination #Score test #Sequential probability ratio test #Standard error #Statistical Methods and Bayesian Inference #Statistical hypothesis testing #Statistics #Statistics Education and Methodologies #Tolerance interval #Wald test
- The VAN earthquake predictions
1996/05/27 by David A. Rhoades, F. F. Evison · 8 citations
Computer Science · Earth and Planetary Sciences · Mathematics · #Alternative hypothesis #Binomial (polynomial) #Binomial distribution #Computer science #Data mining #Earthquake Detection and Analysis #Econometrics #Mathematics #Negative binomial distribution #Null (SQL) #Null hypothesis #Poisson distribution #Seismology and Earthquake Studies #Statistical hypothesis testing #Statistics #earthquake and tectonic studies
- A METHOD FOR DETERMINING THE ASYMPTOTIC EFFICIENCY OF SOME SEQUENTIAL PROBABILITY RATIO TESTS
1990/06/01 by Graham Pollard · 2 citations
Mathematics · Decision Sciences · Computer Science · #Advanced Statistical Methods and Models #Advanced Statistical Process Monitoring #Bayesian Modeling and Causal Inference #Mathematics #Set (abstract data type) #Binomial (polynomial) #Type I and type II errors #Sequential probability ratio test #Type (biology) #Binomial distribution #Statistics #Function (biology) #Applied mathematics #Sample (material) #Discrete mathematics #Computer science
- Estimating the Size of a Truncated Sample
1977/09/01 by Lalitha Sanathanan · 1 citation
Computer Science · Mathematics · #Applied mathematics #Bayesian Methods and Mixture Models #Binomial (polynomial) #Binomial distribution #Census and Population Estimation #Combinatorics #Distribution (mathematics) #Econometrics #Mathematical analysis #Mathematics #Maximum likelihood #Negative binomial distribution #Observable #Physics #Poisson distribution #Sample size determination #Statistics #Survey Sampling and Estimation Techniques #Variable (mathematics)
- The Relationship Between the Binomial and F Distributions
1963/01/01 by G. H. Jowett · 1 citation
Computer Science · Economics, Econometrics and Finance · Mathematics · #Bayesian Methods and Mixture Models #Beta-binomial distribution #Binomial (polynomial) #Binomial distribution #Econometrics #Financial Risk and Volatility Modeling #Mathematics #Negative binomial distribution #Negative multinomial distribution #Poisson distribution #Statistical Distribution Estimation and Applications #Statistics
- The Theory of Decision Procedures for Distributions with Monotone Likelihood Ratio
1956/06/01 by Samuel Karlin, Herman Rubin · 19 citations
Computer Science · Decision Sciences · Mathematics · #Advanced Statistical Methods and Models #Advanced Statistical Process Monitoring #Applied mathematics #Bayesian Modeling and Causal Inference #Binomial distribution #Combinatorics #Discrete mathematics #Exponential family #Mathematical economics #Mathematics #Minimax #Monotone polygon #Poisson distribution #Statistics
- Transformations Related to the Angular and the Square Root
1950/12/01 by Murray F. Freeman, John W. Tukey · 69 citations
Computer Science · Mathematics · #Advanced Statistical Methods and Models #Bayesian Modeling and Causal Inference #Binomial (polynomial) #Binomial approximation #Binomial distribution #Binomial proportion confidence interval #Combinatorics #Discrete mathematics #Geometry #Mathematics #Negative binomial distribution #Numerical Methods and Algorithms #Poisson distribution #Square root #Statistics