Sampling (statistics)
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Sampling (statistics)
In this statistics, quality assurance, and survey methodology, sampling is the selection of a subset or a statistical sample (termed sample for short) of individuals from within a population (statistics), statistical population to estimate characteristics of the whole population. The subset is meant to reflect the whole population, and statisticians attempt to collect samples that are representative of the population. Sampling has lower costs and faster data collection compared to recording data from the entire population (in many cases, collecting the whole population is impossible, like getting sizes of all stars in the universe), and thus, it can provide insights in cases where it is infeasible to measure an entire population. Each observation measures one or more properties (such as weight, location, colour or mass) of independent objects or individuals. In survey sampling, weights can be applied to the data to adjust for the sample design, particularly in stratified samplin ...
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Simple Random Sampling
In statistics, a simple random sample (or SRS) is a subset of individuals (a sample (statistics), sample) chosen from a larger Set (mathematics), set (a statistical population, population) in which a subset of individuals are chosen randomization, randomly, all with the same probability. It is a process of selecting a sample in a random way. In SRS, each subset of ''k'' individuals has the same probability of being chosen for the sample as any other subset of ''k'' individuals. Simple random sampling is a basic type of sampling and can be a component of other more complex sampling methods. Introduction The principle of simple random sampling is that every set with the same number of items has the same probability of being chosen. For example, suppose ''N'' college students want to get a ticket for a basketball game, but there are only ''X'' < ''N'' tickets for them, so they decide to have a fair way to see who gets to go. Then, everybody is given a number in the range from 0 to ' ...
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Alexander Ivanovich Chuprov
Alexander Ivanovich Chuprov (Александр Иванович Чупров; 1841–1908) was a professor of political economy and statistics at Moscow University whose lectures provided the standard introduction to economics for late 19th-century Russian students. Chuprov's father was an Orthodox priest based in Mosalsk. Alexander attended the Law Department of the Moscow University where he became interested in Wilhelm Roscher's research. He founded the Moscow Society to Disseminate Technical Knowledge in 1869 and was elected into the Russian Academy of Sciences in 1887. Chuprov has been described as the founder of transport economics and the multiple-factor analysis of economic regions. In his landmark work ''The Railway Economy'' (1875–78) he analyzed statistics on railway traffic. He distinguished one region from another according to "the value of the market, the cost of transportation, and demographic indicators". Chuprov became known as "the heart and soul" of ze ...
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Roulette
Roulette (named after the French language, French word meaning "little wheel") is a casino game which was likely developed from the Italy, Italian game Biribi. In the game, a player may choose to place a bet on a single number, various groupings of numbers, the color red or black, whether the number is odd or even, or if the number is high or low. To determine the winning number, a croupier spins a wheel in one direction, then spins a ball in the opposite direction around a tilted circular track running around the outer edge of the wheel. The ball eventually loses momentum, passes through an area of deflectors, and falls onto the wheel and into one of the colored and numbered pockets on the wheel. The winnings are then paid to anyone who has placed a successful bet. History The first form of roulette was devised in 18th-century France. Many historians believe Blaise Pascal introduced a primitive form of roulette in the 17th century in his search for a perpetual motion machine. ...
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Joseph Jagger
Joseph Hobson Jagger (2 September 1830 – 25 April 1892) was an English textile industry businessman from Yorkshire, who in around 1881 is said to have "broken the bank at Monte Carlo" by identifying and exploiting biases in the wheels of the roulette tables there. He used his winnings to buy property in Bradford. In 2018 he was the subject of a biography by his great-great niece Anne Fletcher. Early life and family Joseph Jagger was born at Cock Hill, Shelf, Yorkshire on 2 September 1830. In his youth he worked in the textile trade in Bradford. He married Matilda with whom he had two sons and two daughters.Joseph H Jogger England and Wales Census, 1871.
Family Search. Retrieved 20 October 2018.


Monte Carlo

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Batch Production
Batch production is a method of manufacturing in which products are made as specified groups or amounts, within a time frame. A batch can go through a series of steps in a large manufacturing process to make the final desired product. Batch production is used for many types of manufacturing that may need smaller amounts of production at a time to ensure specific quality standards or changes in the process. This is opposed to large mass production Mass production, also known as mass production, series production, series manufacture, or continuous production, is the production of substantial amounts of standardized products in a constant flow, including and especially on assembly lines ... or continuous production methods, where the product or process does not need to be checked or changed as frequently or periodically. Characteristics In the manufacturing batch production process, the machines are in chronological order directly related to the manufacturing process. The ...
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Statistical Population
In statistics, a population is a set of similar items or events which is of interest for some question or experiment. A statistical population can be a group of existing objects (e.g. the set of all stars within the Milky Way galaxy) or a hypothetical and potentially infinite group of objects conceived as a generalization from experience (e.g. the set of all possible hands in a game of poker). A population with finitely many values N in the support of the population distribution is a finite population with population size N. A population with infinitely many values in the support is called infinite population. A common aim of statistical analysis is to produce information about some chosen population. In statistical inference, a subset of the population (a statistical '' sample'') is chosen to represent the population in a statistical analysis. Moreover, the statistical sample must be unbiased and accurately model the population. The ratio of the size of this statistical ...
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Margin Of Error
The margin of error is a statistic expressing the amount of random sampling error in the results of a Statistical survey, survey. The larger the margin of error, the less confidence one should have that a poll result would reflect the result of a simultaneous census of the entire Statistical population, population. The margin of error will be positive whenever a population is incompletely sampled and the outcome measure has positive variance, which is to say, whenever the measure ''varies''. The term ''margin of error'' is often used in non-survey contexts to indicate observational error in reporting measured quantities. Concept Consider a simple ''yes/no'' poll P as a sample of n respondents drawn from a population N \text(n \ll N) reporting the percentage p of ''yes'' responses. We would like to know how close p is to the true result of a survey of the entire population N, without having to conduct one. If, hypothetically, we were to conduct a poll P over subsequent sample ...
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Elections Department Singapore
The Elections Department Singapore (ELD), known endonymously as the Elections Department, is a department under the Prime Minister's Office (PMO) of the Government of Singapore which are responsible for overseeing the procedure for elections in Singapore, including parliamentary elections, presidential elections and referendums. First established in 1947, it sees that elections are fairly carried out and has a supervisory role to safeguard against electoral fraud. It has the power to create constituencies and redistrict them, with the justification of preventing malapportionment. History The elections department was established under the Chief Secretary's Office in 1947 when Singapore was a British crown colony. After independence in 1965, the department was subsequently placed under the Ministry of Home Affairs, followed by the Deputy Prime Minister's Office, and is currently under the Prime Minister's Office. In 2003, the Department was expanded to include the R ...
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2015 Singaporean General Election
General elections were held in Singapore on Friday, 11 September 2015 to elect 89 members of Parliament. The outgoing Parliament had been dissolved and the general election called by President Tony Tan on 25 August, on the advice of Prime Minister Lee Hsien Loong. The elections were for the 13th Parliament since independence in 1965, using the first-past-the-post electoral system. The elections marked several first since independence: the first election where all seats were contested, including Tanjong Pagar being contested for the first time ever since the ward's formation in 1991. It was also the first election without any original Parliament MPs contesting following the death of the last active MP and the nation's first Prime Minister Lee Kuan Yew in March 2015, coinciding in Singapore's 50th anniversary celebration on 9 August that year. This was the first election (of any kind) in Singapore's history where polling day falls on a Friday instead of the traditional Sat ...
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Elections In Singapore
Elections in Singapore comprise two types: parliamentary and presidential elections. Under the Constitution of Singapore, a general election must be held within three months of the dissolution of Parliament, which has a maximum term of five years from the date of its first sitting. Presidential elections are held every six years. All elections in Singapore operate under the first-past-the-post voting (FPTP) system. Singapore employs an official sample count system to provide early indications of election outcomes. At each polling station, a counting assistant randomly selects 100 ballots, which are then tallied to produce a mini-sample. These samples are aggregated and weighted according to the number of votes cast at each station to generate constituency-level projections. Based on simple random sampling, the estimates typically achieve a 95% confidence level with a margin of error of 4–5%. This system is designed to offer a statistically reliable and timely snapshot of t ...
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New York City
New York, often called New York City (NYC), is the most populous city in the United States, located at the southern tip of New York State on one of the world's largest natural harbors. The city comprises five boroughs, each coextensive with a respective county. The city is the geographical and demographic center of both the Northeast megalopolis and the New York metropolitan area, the largest metropolitan area in the United States by both population and urban area. New York is a global center of finance and commerce, culture, technology, entertainment and media, academics, and scientific output, the arts and fashion, and, as home to the headquarters of the United Nations, international diplomacy. With an estimated population in 2024 of 8,478,072 distributed over , the city is the most densely populated major city in the United States. New York City has more than double the population of Los Angeles, the nation's second-most populous city.
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