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Introduction to Unconditional Probability Unconditional probability, also known as marginal probability, represents a fundamental concept in the realm of mathematics and statistics that is essential to finance and investment. It refers to the likelihood that a single outcome emerges among several possible outcomes, disregarding any other conditions or preceding occurrences.
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What is Subjective Probability? Subjective probability refers to an individual’s assessment or judgment about the likelihood of an event occurring, based on personal beliefs and experiences rather than mathematical calculations or data analysis. Unlike objective probability, which relies on statistical evidence and long-term data to determine probabilities, subjective probabilities are
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Introduction to Probability Density Functions (PDF) Probability density functions, commonly denoted as PDFs, are an essential component of statistical analysis used extensively in finance to gauge the risk and expected return potential for discrete variables such as individual stocks or exchange-traded funds (ETFs). They represent the probability distribution of a
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Introduction to the Normal Distribution The normal distribution, also referred to as the Gaussian distribution, is a fundamental concept in finance and investment that describes the symmetrical distribution of data around its mean value. It represents a continuous probability distribution characterized by the bell curve shape with the majority of
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Introduction to Mutually Exclusive Events In finance, a vital concept used in decision-making is mutual exclusivity – the idea that certain events or projects cannot happen concurrently due to limited resources or time. Understanding this concept’s importance and differences from independent events is crucial for investors and business managers when
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Introduction to Conditional Probability Conditional probability, which can also be described as conditional likelihood, is a fundamental concept in mathematics and statistics that deals with the occurrence of events or outcomes under specific conditions. In finance and investment, this concept plays an essential role in risk assessment, portfolio management, statistical
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Introduction to Chi-Square Statistic The chi-square (χ2) statistic is an essential tool in the finance and investment world, particularly when dealing with categorical variables. Chi-square tests help determine whether there exists a relationship between two or more categorical variables. The primary objective of this section is to introduce you to
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What Is the Central Limit Theorem (CLT) In probability theory, the central limit theorem (CLT) represents a significant principle that demonstrates how the distribution of sample means approximates a normal distribution as the sample size grows larger, regardless of the underlying population’s actual distribution. Introduced by Abraham de Moivre in
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Introduction to Bayes’ Theorem Bayes’ theorem, named after British statistician Thomas Bayes, is a fundamental concept in probability theory with far-reaching implications for finance and investing. This theorem provides an effective framework to calculate conditional probabilities, or the likelihood of an event occurring given that another event has taken place.
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Background on Probability Theory and Mutually Exclusive Events Understanding probability theory is essential for anyone interested in finance and investment. Probability theory deals with calculating the likelihood of an event occurring. In this context, we’ll focus on two main concepts: mutually exclusive events and the addition rule for probabilities. First,
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