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Statistical Inference I ( Theory of Estimation) : Unbiased it's properties and examples

 📚Statistical Inference I Notes The theory of  estimation invented by Prof. R. A. Fisher in a series of fundamental papers in around 1930. Statistical inference is a process of drawing conclusions about a population based on the information gathered from a sample. It involves using statistical techniques to analyse data, estimate parameters, test hypotheses, and quantify uncertainty. In essence, it allows us to make inferences about a larger group (i.e. population) based on the characteristics observed in a smaller subset (i.e. sample) of that group. Notation of parameter: Let x be a random variable having distribution function F or f is a population distribution. the constant of  distribution function of F is known as Parameter. In general the parameter is denoted as any Greek Letters as θ.   now we see the some basic terms :  i. Population : in a statistics, The group of individual under study is called Population. the population is may be a group of object, animate like persons or

Business Statistics Notes ( Meaning, Scope, Limitations of statistics and sampling Methods)

  Business Statistics Paper I Notes. Welcome to our comprehensive collection of notes for the Business Statistics!  my aim is to provided you  with the knowledge you need as you begin your journey to comprehend the essential ideas of this subject. Statistics is a science of collecting, Presenting, analyzing, interpreting data to make informed business decisions. It forms the backbone of modern-day business practices, guiding organizations in optimizing processes, identifying trends, and predicting outcomes. I will explore several important topics through these notes, such as: 1. Introduction to Statistics. :  meaning definition and scope of  Statistics. 2. Data collection methods. 3. Sampling techniques. 4. Measures of  central tendency : Mean, Median, Mode. 5. Measures of Dispersion : Relative and Absolute Measures of dispersion,  Range, Q.D., Standard deviation, Variance. coefficient of variation.  6.Analysis of bivariate data: Correlation, Regression.  These notes will serve as you

Statistical Inference: Basic Terms and Definitions.

  📚📖 Statistical Inference: Basic Terms. The theory of estimation is of paramount importance in statistics for several reasons. Firstly, it allows researchers to make informed inferences about population characteristics based on limited sample data. Since it is often impractical or impossible to measure an entire population, estimation provides a framework to generalize findings from a sample to the larger population. By employing various estimation methods, statisticians can estimate population parameters such as means, proportions, and variances, providing valuable insights into the population's characteristics. Second, the theory of estimating aids in quantifying the estimates' inherent uncertainty. Measures like standard errors, confidence intervals, and p-values are included with estimators to provide  an idea of how accurate and reliable the estimates are. The range of possible values for the population characteristics and the degree of confidence attached to those esti

Statistical Inference

 Statistical Inference: The Power of Statistical Inference in Data Analysis Statistical Inference: Drawing Meaningful Conclusions from Data In a data analysis, The statistical inference is a  a powerful tool for drawing meaningful conclusions from a sample of data  and making inferences about a larger population. It enables us to make confident predictions, understand relationships, and uncover valuable insights that can inform decision-making and shape various fields of study. At its core, statistical inference involves using statistical methods to analyse sample data and extend the findings to the broader population. This approach is necessary because it is often impractical or impossible to collect data from every individual or element of interest. Instead, we carefully select a representative sample and employ statistical techniques to infer information about the larger population. The first aspect of statistical inference is estimation. Estimation allows us to estimate unknown pop

Contribution of Statistics in the Agricultural Sector: A New Direction for Progressive Farming

 Contribution of Statistics in the Agricultural Sector: A New Direction for Progressive Farming🌱🌱          The role of statistics has emerged as a game-changer in today's fast changing agricultural scene, where precision and efficiency are vital. The role statistics have played in the agriculture industry has paved the path for innovative farming methods and sustainable, efficient food production. Farmers and decision-makers can use data analysis, statistical modelling, and predictive analytics to drive productivity, resource management, and total farm profitability. This essay dives into the use of statistics in agriculture and examines how they are influencing the development of progressive farming, revolutionising the way we grow crops, manage resources, and guarantee food security in a rapidly evolving global environment.            Utilising statistics, the agricultural industry begins on a transformative journey, as statistical analysis' significant contribution opens t