Bertrand's paradox is a problem in geometric probability that has resisted resolution for more
than one hundred years. Bertrand provided three seemingly reasonable solutions to his …

Bayesian inference is one of the most important issues under the model selection
procedures in statistics. This paper performed a Bayesian analysis of posteriors using a well …

In this paper, explicit forms of single and product moments with recurrence relations are
obtained based on k-th lower record values from the inverted Nadarajah-Haghighi (NH) …

In this paper, we present new perspectives of the parameters of a Lomax model that
measure the relevance of different priors on the posteriors using upper $ k $ th records. The …

We investigate Bertrand's probabilistic paradox through the lens of discrete geometry and
old-fashioned but reliable discrete probability. We approximate the plane unit circle with …

BERTRAND’S PARADOX: NEW PROBABILISTIC MODELS 1. Introduction Paradox, on its own,
is a puzzle that confronts some already esta Page 1 Kragujevac Journal of Mathematics Volume …