In the realm of statistical modeling and data analysis, the Generalized Linear Models (GLM) family plays a pivotal role. They offer a versatile framework for capturing the relationship between response variables and explanatory variables. Given the vast array of statistical techniques, it is natural to ask: "Which models specifically belong to the GLM family?" This question arises to clarify the scope and applications of GLMs. Some well-known examples that fall under this umbrella include linear regression, logistic regression, and Poisson regression. Each of these models possesses unique characteristics that make them suitable for different types of data and research questions. However, understanding which models constitute the GLM family is essential for selecting the appropriate analytical tool for a given problem.
            
            
            
            
            
            
           
          
          
            5 answers
            
            
  
    
    JamesBrown
    Sun Jun 30 2024
   
  
    However, the exponential family is not limited to these three distributions. It also comprises other interesting members, such as the Gamma, inverse Gaussian, and negative binomial distributions.
  
  
 
            
            
  
    
    CryptoMaven
    Sun Jun 30 2024
   
  
    A Generalized Linear Model (GLM) is a statistical tool utilized to describe the relationship between a response variable and explanatory variables. 
  
  
 
            
            
  
    
    amelia_martinez_engineer
    Sun Jun 30 2024
   
  
    The inclusion of these diverse distributions in the exponential family allows GLMs to be applied to a wide range of problems, including those with non-normal error structures or skewed response variables.
  
  
 
            
            
  
    
    ZenBalance
    Sun Jun 30 2024
   
  
    The key characteristic of a GLM is that the conditional distribution of the response variable belongs to a one-dimensional exponential family. 
  
  
 
            
            
  
    
    ZenMindful
    Sun Jun 30 2024
   
  
    This exponential family includes well-known distributions such as the Gaussian, Poisson, and binomial distributions.