Non-parametric regression analysis occupies an increasing place in the field of statistical models, offering a flexible estimation that adapts without strict constraints to the observed data. This approach, in contrast to rigid parametric methods, aims to capture the underlying relationships between variables without assuming a predefined functional form. In a world where the complexity of … Read more
In the field of applied mathematics to statistics and data science, information geometry emerges as a central discipline, where probability modeling exceeds simple calculations and enters a spatial dimension. In 2025, a deep understanding of the geometric structures associated with probability distributions not only sheds light on the foundations of the metrics used but also … Read more
IN SHORT Big data requires applied mathematics. Statistics and probabilities are essential for data analysis. Optimization is a key tool for processing data. Understanding algorithms such as Deep Learning is crucial. Data Scientists and Data Engineers must master the concepts of machine learning. Mathematics is at the heart of analytical tools to extract meaningful insights. … Read more
IN BRIEF Statistics as a tool of persuasion in social sciences Analysis of demography and population trends Importance of statistical methods for data interpretation Role of correlations in exploratory analysis Utility of descriptive statistics in various fields Impact of statistics on economic development Statistics play a prominent role in social sciences, significantly contributing to the … Read more
IN BRIEF Probabilities and games of chance: Introduction to the basic concepts. Calculation of probabilities: Strategies to increase winning chances. The role of combinatorial calculation in evaluating options. Examples of modeling related to well-known games. Importance of laws of chance: Failures and successes in games. Specific strategies for games like poker and lottery. History of … Read more
IN BRIEF Probability: measure of the chance of an event occurring (value between 0 and 1). Statistics: analysis of qualitative and quantitative data. Essential concepts: mean, median, mode. Probability calculation: favorable events divided by total number of events. Random variables and probability laws: fundamental concepts. Difference between probabilities and statistics: use of data. The notions … Read more
IN BRIEF Data analysis for informed decisions. Statistics as decision-support tools. Impact of data on strategic choices. Optimization of resources through statistical methods. Simplification of decision-making despite the complexity of data. Growing use of business data for optimal decisions. Fundamental role of statistics in corporate strategy. In a world where information abounds, statistics present themselves … Read more
IN BRIEF Origins of probability theory in games of chance. 1654: Correspondence between Pierre de Fermat and Blaise Pascal marking the beginning of probability calculus. Development of probabilities during the 19th century. Kolmogorov introduced axiomatic in 1933. Abraham de Moivre and his contribution with “The Doctrine of Chances” in 1718. Probability theory was systematized from … Read more