Negative Binomial Distribution definition, formula, properties with applications

Negative binomial distribution

The Negative Binomial Distribution (NBD) is a crucial probability distribution in statistics, especially in modeling count data with overdispersion. It is widely applied in fields such as epidemiology, finance, and machine learning. This article provides an in-depth exploration of the NBD, its formula, applications, and real-world significance. What is the Negative Binomial Distribution? The Negative … Read more

Geometric Distribution: Definition, Properties and Applications

geometric distribution

The geometric distribution is a discrete probability distribution that illustrates the probability that a Bernoulli trial will result in multiple failures before success. A Bernoulli trial is an experiment that can have only two possible outcomes, i.e., success or failure. In a geometric distribution, a Bernoulli trial is essentially repeated until success is attained. More … Read more

Hypergeometric Distribution: Definition, Properties and Applications

hypergeometric distribution

In probability statistics, the hypergeometric distribution is a discrete probability distribution that describes the probability of k successes in n draws, without replacement, from a finite population of size N that contains exactly K objects with that feature, wherein each draw is either a success or a failure.     Mathematical definition A discrete random … Read more

Poisson Distribution: Definition, Properties and applications with real life example

poisson distribution

The Poisson distribution is a powerful statistical tool used to model the probability of a certain number of events occurring within a fixed interval of time or space. Whether you’re trying to predict the number of customer service calls received per hour, the number of typos on a page, or the number of cars passing … Read more

Bernoulli Distribution: Definition, Properties and Applications

bernoulli distribution

The Bernoulli distribution, named after Swiss mathematician Jacob Bernoulli, is a foundational concept in probability theory and statistics. While seemingly simple, it forms the basis for many more complex models and algorithms. Understanding the Bernoulli distribution is crucial for anyone working with data, particularly in fields like machine learning, data science, and analytics. Bernoulli distribution … Read more

Binomial Distribution: Definition, PDF, properties and application

binomial distribution

The binomial distribution is a cornerstone of probability and statistics, frequently popping up in fields ranging from scientific research to marketing analytics. While the name might sound intimidating, understanding its core principles unlocks a powerful tool for predicting and analyzing events with binary outcomes – think coin flips, survey responses, or website conversions. Binomial distribution … Read more

Purposive Sampling: Definition, application, advantages and disadvantages

purposive sampling

Purposive sampling also known as judgmental, selective, or subjective sampling, reflects a group of sampling techniques that rely on the judgment of the researcher. Unlike random sampling, where researchers give each individual an equal selection chance, purposive sampling involves selecting individuals who can provide valuable insights into the research topic. This sampling procedure is always … Read more

Quota Sampling: Difition, application, advantages and disadvantages

quota sampling

Quota sampling is a non-probability sampling technique where in the assembled sample has the same proportions of individuals as the entire population with respect to known characteristics, traits, or focused phenomenon. This sampling procedure is completely opposite to probability sampling. Researchers then select participants from each quota to ensure representation. Unlike random sampling, quota sampling … Read more

Convenience Sampling: Definition, application, advantages and disadvantages

convenience sampling

Convenience Sampling is a special kind of Non-Probability sampling, where samples are choosen randomly from population and there have also unrestricted term. For example, standing at a mall or a grocery store and asking people to answer questions would be an example of a convenience sample. There are no other criteria to the sampling method. But only … Read more

Snowball sampling: Definition, application , advantages and disadvantages

snowball sampling

Snowball sampling is a non-probability sampling technique used primarily in qualitative and social science research to access populations that are hard to reach or identify through conventional methods. The method begins with a small, initial set of participants known as “seeds,” who meet the study criteria. These seeds then refer or recruit other individuals from … Read more

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