Publications by Annabelle
Exploring the Relationship Between IQ Scores, Economic Development, and Geographical Factors
Exploring the Relationship Between IQ Scores, Economic Development, and Geographical Factors 1. Abstract This study is an in-depth exploration of the relationships between IQ, economic factors, and geography on a global scale. The research was conducted using advanced statistical techniques on international datasets in order to gain insight i...
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Analysis of Student Performance in Secondary Education
Preliminary Report: Analysis of Student Performance in Secondary Education Ⅰ. Introduction Academic performance is a crucial factor in shaping a student’s future opportunities in education and career paths. For educational institutions aiming to improve student outcomes, understanding what influences academic success is essential (Cortez ...
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Predicting Corporate Bankruptcy
Predicting Corporate Bankruptcy Project Description: In this project, we aim to build a machine learning model to predict company bankruptcy based on financial ratios from Taiwanese companies between 1999 and 2009. Using classification techniques, the goal is to analyze which financial factors are most predictive of bankruptcy. The project in...
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Bankruptcy Prediction Using Financial Ratios
Project Description: In this project, we aim to build a machine learning model to predict company bankruptcy based on financial ratios from Taiwanese companies between 1999 and 2009. Using classification techniques, the goal is to analyze which financial factors are most predictive of bankruptcy. The project involves thorough data exploration,...
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Random Variables and Distribution Functions part 3
Joint Distributions and Simulations Joint Distributions Experimental procedures use data based on multiple observations. Consequently, we will expand on the concepts above to the case of multiple random variables and their joint distribution. For the case of two random variables, \(X_1\) and \(X_2\), this means looking at the probability of ev...
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Random Variables and Distribution Functions part 1
Random Variables and Distribution Functions CDF Definition: The cumulative distribution function (CDF), \(F_X(x) = P(X \leq x)\) gives the probability that the random variable \(X\) takes takes a value less than or equal to some real number \(x\). A random variable is a real-valued function from the probability space \(X: \omega \to \mathbb{R}\...
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Random Variables and Distribution Functions part 2
Mass Functions and Density Functions Key Differences Between PMF and PDF: Feature PMD (Discrete Var) PDF (Continuous Var) Function Type Probability Mass Function Probability Density Function Applicable to Discrete Random Variables Continuous Random Variables What it gives Probability that \(X = x\) Density of \(X\) at \(x\) Exact Value Probab...
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