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Convergence guarantees for the Good-Turing estimator
A Painsky - Journal of Machine Learning Research, 2022 - jmlr.org
Consider a finite sample from an unknown distribution over a countable alphabet. The
occupancy probability (OP) refers to the total probability of symbols that appear exactly k …
occupancy probability (OP) refers to the total probability of symbols that appear exactly k …
Bayesian Nonparametric Inference for" Species-sampling" Problems
Given an observed sample from a population of individuals belonging to species," species-
sampling" problems (SSPs) call for estimating some features of the unknown species …
sampling" problems (SSPs) call for estimating some features of the unknown species …
Generalized Good-Turing improves missing mass estimation
A Painsky - Journal of the American Statistical Association, 2023 - Taylor & Francis
Consider a finite sample from an unknown distribution over a countable alphabet. The
missing mass refers to the probability of symbols that do not appear in the sample …
missing mass refers to the probability of symbols that do not appear in the sample …
Confidence intervals for parameters of unobserved events
A Painsky - Journal of the American Statistical Association, 2024 - Taylor & Francis
Consider a finite sample from an unknown distribution over a countable alphabet.
Unobserved events are alphabet symbols which do not appear in the sample. Estimating the …
Unobserved events are alphabet symbols which do not appear in the sample. Estimating the …
Just Wing It: Near-Optimal Estimation of Missing Mass in a Markovian Sequence
We study the problem of estimating the stationary mass---also called the unigram mass---
that is missing from a single trajectory of a discrete-time, ergodic Markov chain. This problem …
that is missing from a single trajectory of a discrete-time, ergodic Markov chain. This problem …
Bayesian nonparametric dependent model for partially replicated data: the influence of fuel spills on species diversity
We introduce a dependent Bayesian nonparametric model for the probabilistic modeling of
membership of subgroups in a community based on partially replicated data. The focus here …
membership of subgroups in a community based on partially replicated data. The focus here …
Bayesian nonparametric inference for discovery probabilities: Credible intervals and large sample asymptiotics
Given a sample of size n from a population of individuals belonging to different species with
unknown proportions, a problem of practical interest consists in making inference on the …
unknown proportions, a problem of practical interest consists in making inference on the …
[PDF][PDF] Just wing it: optimal estimation of missing mass in a Markovian sequence
We study the problem of estimating the stationary mass—also called the unigram mass—
that is missing from a single trajectory of a discrete-time, ergodic Markov chain. This problem …
that is missing from a single trajectory of a discrete-time, ergodic Markov chain. This problem …
Asymptotic properties of Turing's formula in relative error
Turing's formula allows one to estimate the total probability associated with letters from an
alphabet, which are not observed in a random sample. In this paper we give conditions for …
alphabet, which are not observed in a random sample. In this paper we give conditions for …
Bayesian calculus and predictive characterizations of extended feature allocation models
We introduce and study a unified Bayesian framework for extended feature allocations
which flexibly captures interactions--such as repulsion or attraction--among features and …
which flexibly captures interactions--such as repulsion or attraction--among features and …