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math.ST2023
A bridge between the circular and linear normal distributions
Frédéric Ouimet
In this short note, we present a refined approximation for the log-ratio of the density of the von Mises distribution (also called the circular normal distribution) to the s…
math.ST2023
Non-asymptotic approximations for Pearson's chi-square statistic and its application to confidence intervals for strictly convex functions of the probability weights of discrete distributions
Eric Bax, Frédéric Ouimet
In this paper, we develop a non-asymptotic local normal approximation for multinomial probabilities. First, we use it to find non-asymptotic total variation bounds between the meas…