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On Bernoulli trials with unequal harmonic success probabilities
A Bernoulli scheme with unequal harmonic success probabilities is investigated, together with some of its natural extensions. The study includes the...
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Approximations for Discrete Scan Statistics on i.i.d and Markov-Dependent Bernoulli Trials
In this short note, we examine some approximations for the distribution of the discrete scan statistic defined on i.i.d. and Markov-dependent...
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Bias Control in Randomized Controlled Clinical Trials
In clinical trials, randomization is used to allocate patients to treatment groups, because this design technique tends to produce comparability...
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Bayesian Adaptive Designs for Phase I Trials
Phase I trials mark the first experimentation of a new drug or combination of drugs in a human population. The primary aim of a cancer phase I trial...
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A Curtailed Procedure for Selecting Among Treatments With Two Bernoulli Endpoints
This paper is concerned with a closed adaptive sequential procedure for selecting a random-size subset containing experimental treatments that are...
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Weak runs in sequences of binary trials
In the present paper the metric of distance is adapted to a sequence of binary trials and the concept of r -weak runs is introduced and defined. The...
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A Test for Multiple Binary Endpoints with Continuous Latent Distribution in Clinical Trials
In clinical trials, two or more binary responses obtained by dichotomizing continuous responses are often employed as multiple primary endpoints....
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Research on Probability Models for Cluster of Points Before the Year 1960
Scan statistics describe large number of events or objects clustered close in time or space. A few special cases of scan statistics – long success...
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Inference for Binomial Distribution
So far, we have progressed our learning using only two theoretical distributions: the normal distribution and the uniform distribution. In this...
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Bayesian Adaptive Designs for Phase I Trials
Phase I trials mark the first experimentation of a new drug or combination of drugs in a human population. The primary aim of a cancer phase I trial...
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Logistic Regression/Meta-Analysis
This section introduces regression analysis using logistic transformation. We utilize the Bernoulli distribution and binomial distribution and, at...
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Instrumental variable estimation of early treatment effect in randomized screening trials
The primary analysis of randomized screening trials for cancer typically adheres to the intention-to-screen principle, measuring cancer-specific...
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Biostatistics in Clinical Trials
Biostatistics plays an important role in the design, conduct, and reporting of clinical trials. In recent years, the recognition and appreciation of...
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E -values for k-Sample Tests with Exponential FamiliesWe develop and compare e -variables for testing whether k samples of data are drawn from the same distribution, the alternative being that they come...
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Approximating the Distribution of the Multiple Scan Statistic
In this paper, we review a number of bounds and approximations for the distribution of the multiple scan statistic defined on a sequence of binary...
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A simple solution to the inadequacy of asymptotic likelihood-based inference for response-adaptive clinical trials
The present paper discusses drawbacks and limitations of likelihood-based inference in sequential clinical trials for treatment comparisons managed...
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Impact of covariate omission and categorization from the Fine–Gray model in randomized-controlled trials
In this paper, we study the statistical issues related to the omission and categorization of important covariates in the context of the Fine–Gray...
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Discrete Scan Statistics for Higher-Order Markovian Sequences
In this chapter we review methods for computing probabilities of the discrete scan statistic. Most of the presented results are for independent...
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An Asymptotic Conditional Test of Independence in Bernoulli Sequences Using the Number of Runs Given the Number of Successes
In this paper, we prove the asymptotic normality of the conditional distribution of the number of runs given the number of successes for a sequence...