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- https://stats.libretexts.org/Courses/Prince_George's_Community_College/MAT1140%3A_Introduction_to_Statistics/03%3A_Discrete_Random_Variables/3.03%3A_Mean_or_Expected_Value_and_Standard_DeviationThe expected value is often referred to as the "long-term" average or mean. This means that over the long term of doing an experiment over and over, you would expect this average. This “long-term aver...The expected value is often referred to as the "long-term" average or mean. This means that over the long term of doing an experiment over and over, you would expect this average. This “long-term average” is known as the mean or expected value of the experiment and is denoted by the Greek letter μμ . In other words, after conducting many trials of an experiment, you would expect this average value.
- https://stats.libretexts.org/Courses/Concord_University/Elementary_Statistics/05%3A_Random_Variables/5.03%3A_Mean_or_Expected_Value_and_Standard_DeviationThe expected value is often referred to as the "long-term" average or mean. This means that over the long term of doing an experiment over and over, you would expect this average. This “long-term aver...The expected value is often referred to as the "long-term" average or mean. This means that over the long term of doing an experiment over and over, you would expect this average. This “long-term average” is known as the mean or expected value of the experiment and is denoted by the Greek letter μμ . In other words, after conducting many trials of an experiment, you would expect this average value.
- https://stats.libretexts.org/Courses/Lake_Tahoe_Community_College/Book%3A_Introductory_Statistics_(OpenStax)_With_Multimedia_and_Interactivity_LibreTexts_Calculator/04%3A_Discrete_Random_Variables/4.03%3A_Mean_or_Expected_Value_and_Standard_DeviationThe expected value is often referred to as the "long-term" average or mean. This means that over the long term of doing an experiment over and over, you would expect this average. This “long-term aver...The expected value is often referred to as the "long-term" average or mean. This means that over the long term of doing an experiment over and over, you would expect this average. This “long-term average” is known as the mean or expected value of the experiment and is denoted by the Greek letter μ . In other words, after conducting many trials of an experiment, you would expect this average value.
- https://stats.libretexts.org/Courses/Fresno_City_College/Introduction_to_Business_Statistics_-_OER_-_Spring_2023/13%3A_Linear_Regression_and_Correlation/13.07%3A_Predicting_with_a_Regression_EquationThe Gauss-Markov theorem assures us that the point estimate of the impact on the dependent variable derived by putting in the equation the hypothetical values of the independent variables one wishes t...The Gauss-Markov theorem assures us that the point estimate of the impact on the dependent variable derived by putting in the equation the hypothetical values of the independent variables one wishes to simulate will result in an estimate of the dependent variable which is minimum variance and unbiased.
- https://stats.libretexts.org/Courses/Diablo_Valley_College/Math_142%3A_Elementary_Statistics_(Kwai-Ching)/Math_142%3A_Text_(Openstax)/04%3A_Discrete_Random_Variables/4.03%3A_Mean_or_Expected_Value_and_Standard_DeviationThe expected value is often referred to as the "long-term" average or mean. This means that over the long term of doing an experiment over and over, you would expect this average. This “long-term aver...The expected value is often referred to as the "long-term" average or mean. This means that over the long term of doing an experiment over and over, you would expect this average. This “long-term average” is known as the mean or expected value of the experiment and is denoted by the Greek letter μμ . In other words, after conducting many trials of an experiment, you would expect this average value.
- https://stats.libretexts.org/Courses/Saint_Mary's_College_Notre_Dame/BFE_1201_Statistical_Methods_for_Finance_(Kuter)/08%3A_Linear_Regression_and_Correlation/8.07%3A_Predicting_with_a_Regression_EquationThe Gauss-Markov theorem assures us that the point estimate of the impact on the dependent variable derived by putting in the equation the hypothetical values of the independent variables one wishes t...The Gauss-Markov theorem assures us that the point estimate of the impact on the dependent variable derived by putting in the equation the hypothetical values of the independent variables one wishes to simulate will result in an estimate of the dependent variable which is minimum variance and unbiased.
- https://stats.libretexts.org/Bookshelves/Applied_Statistics/Business_Statistics_(OpenStax)/04%3A_Discrete_Random_Variables/4.03%3A_Geometric_DistributionThis page explains the geometric probability distribution, highlighting its focus on trials until the first success, with characteristics like repeated Bernoulli trials. It includes examples such as c...This page explains the geometric probability distribution, highlighting its focus on trials until the first success, with characteristics like repeated Bernoulli trials. It includes examples such as calculating probabilities related to pancreatic cancer, women's literacy rates, a baseball player's batting average, and spotting Dalmatians based on specific criteria.
- https://stats.libretexts.org/Bookshelves/Applied_Statistics/Business_Statistics_(OpenStax)/13%3A_Linear_Regression_and_Correlation/13.06%3A_Predicting_with_a_Regression_EquationThis page discusses the importance of estimated regression equations for predicting the impact of independent variables on a dependent variable, essential for policy-making. The Gauss-Markov theorem e...This page discusses the importance of estimated regression equations for predicting the impact of independent variables on a dependent variable, essential for policy-making. The Gauss-Markov theorem ensures unbiased point estimates with minimum variance. It distinguishes between confidence intervals for estimating mean impacts across experiments and prediction intervals for single outcomes, noting that their reliability decreases for predictions outside the data range.
- https://stats.libretexts.org/Courses/Lake_Tahoe_Community_College/Introductory_Statistics_(OpenStax)_With_Multimedia_and_Interactivity/04%3A_Discrete_Random_Variables/4.03%3A_Mean_or_Expected_Value_and_Standard_DeviationThe expected value is often referred to as the "long-term" average or mean. This means that over the long term of doing an experiment over and over, you would expect this average. This “long-term aver...The expected value is often referred to as the "long-term" average or mean. This means that over the long term of doing an experiment over and over, you would expect this average. This “long-term average” is known as the mean or expected value of the experiment and is denoted by the Greek letter μ . In other words, after conducting many trials of an experiment, you would expect this average value.
- https://stats.libretexts.org/Courses/El_Camino_College/Introductory_Statistics/04%3A_Discrete_Random_Variables/4.03%3A_Mean_or_Expected_Value_and_Standard_DeviationThe expected value is often referred to as the "long-term" average or mean. This means that over the long term of doing an experiment over and over, you would expect this average. This “long-term aver...The expected value is often referred to as the "long-term" average or mean. This means that over the long term of doing an experiment over and over, you would expect this average. This “long-term average” is known as the mean or expected value of the experiment and is denoted by the Greek letter μμ . In other words, after conducting many trials of an experiment, you would expect this average value.
- https://stats.libretexts.org/Courses/Penn_State_University_Greater_Allegheny/STAT_200%3A_Introductory_Statistics_(OpenStax)_GAYDOS/04%3A_Discrete_Random_Variables/4.02%3A_Mean_or_Expected_Value_and_Standard_DeviationThe expected value is often referred to as the "long-term" average or mean. This means that over the long term of doing an experiment over and over, you would expect this average. This “long-term aver...The expected value is often referred to as the "long-term" average or mean. This means that over the long term of doing an experiment over and over, you would expect this average. This “long-term average” is known as the mean or expected value of the experiment and is denoted by the Greek letter μμ . In other words, after conducting many trials of an experiment, you would expect this average value.
