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Density, density scale
| Glossary of Statistical Terms |
The vertical axis of a histogram has units of percent per unit of the horizontal axis. this is called a density scale; it measures how "dense" the observations are in each bin. see also probability density.
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Horizontal, английский
- Горизонталь; горизонтальный
- Горизонталь; горизонтальный 287
- At right angles to the direction of gravity; on the level; parallel to the horizon; neither vertical nor inclined.
- A direction parallel to the horizon, or what is commonly termed lying flat. one of the greatest inconveniences navigators have to struggle with is the frequent want of a distinct sight of the horizon. to obviate this a horizontal spinning speculum was adopted by mr. lerson, who was lost in the victory man-of-war, in which ship he was sent out to make trial of his instrument. this was afterwards improved by smeaton, and consists of a well-polished metal speculum about 3-1/2 inches in diameter, inclosed within a circular rim of brass, so fitted that the centre of gravity of the whole shall fall near the point on which it spins. this is the end of a steel axis running through the centre of the speculum, above which it finishes in a square for the convenience of fitting a
Observations, английский
Замечания эксперта (по существу заявки)
Probability, английский
- Probability can be generally defined as a measure of how likely some event will occur. the event could be an explosion, a lottery win or perhaps cancer induction. mathematically speaking, the value of probability varies between 0 and 1 where 0 means an ev
- Вероятность. возможность.
- The probability of an event is a number between zero and 100%. the meaning (interpretation) of probability is the subject of theories of probability, which differ in their interpretations. however, any rule for assigning probabilities to events has to satisfy the axioms of probability.
- Вероятность
- Вероятность probability sample, syn. random sample
- Вероятность. мера случайности появления конкретного события. например, вероятность случайного выбора из популяции человека с конкретным качеством соответствует доле людей в популяции, обладающих этим качеством.
- Вероятность; возможность
- Вероятность; обеспеченность (гидрологической величины) ~ of no-failure вероятность безотказной работы
- Probability is a method for representing uncertainty about propositions or events. it represents the uncertainty about a proposition on a scale from 0 to 1, with a 0 representing complete certainty that the proposition is false or an event will not occur and a value of one will represent the opposite. formally, a probability measure is one that follows kolmogorov`s axioms. there are two main schools of thought on the meaning of probability. frequentists take a narrow interpretation of probability allowing only hypothetically repeatable events or experiments as being quantifiable by probability, while bayesians take a broader interpretation that allows reasoning about "one-shot" events and propositions based on the current knowledge about nature. the bayesian interpretation is most commonly used in artificial intelligence, while the frequentist interpretation is most commonly taught in statistics courses. the label "bayesian" arises from the central role that the bayes theorem plays in this use of probability. it allows one to reason from effects to causes and encourages the use of probability measures to describe supposedly fixed events or propositions which frequentists disallow. the probability for these events reflects one`s state of knowledge about the event, rather than being an assertion that the unknown event can vary. for example, a bayesian would have no qualms about making statements about the probability that a given die, rolled and hidden from his sight is, for example, a six. a frequentist would be unable to make such a statement, preferring to talk about his confidence in the method when applied to a hypothetically large number of repeated experiments. in the end, they would act in similar ways. when the long run data are available, bayesians and frequentists end up with the same estimates. see also: bayes theorem, kolmogorov`s axioms.
- Вероятность. математическое измерение возможности появления неко-его события, выраженное в виде дроби или процента [30]. значения статистической вероятности лежат в пределах от 1 или 100 процентов (всегда) до 0 или 0 процентов (никогда) [20]. наибольшее приближение к истинной вероятности дает относитель-ная частота события, полученная на основе большой серии измерений или результа-тов [33]. вероятность может быть также определена как выражение в некоторой неопределимой форме "степени уверенности" или как предельная частота события в бесконечной случайной последовательности [49].
- The likelihood of something happening. for example, sale being made.
- Вероятность. математическое измерение возможности появления некоего события, выраженное в виде дроби или процента [30]. значения статистической вероятности лежат в пределах от 1 или 100 процентов (всегда) до 0 или 0 процентов (никогда) [20]. наибольшее приближение к истинной вероятности дает относительная частота события, полученная на основе большой серии измерений или результатов [33]. вероятность может быть также определена как выражение в некоторой неопределимой форме "степени уверенности" или как предельная частота события в бесконечной случайной последовательности [49].
- The relative likelihood of a particular outcome among all possible outcomes.
- Likelihood that an event may occur, expressed as a number between 0 and 1.
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Axioms of probability, английский
There are three axioms of probability: (1) chances are always at least zero. (2) the chance that something happens is 100%. (3) if two events cannot both occur at the same time (if they are disjoint or mutually exclusive), the chance that either one occurs is the sum of the chances that each occurs. for example, consider an experiment that consists of tossing a coin once. the first axiom says that the chance that the coin lands heads, for instance, must be at least zero. the second axiom says that the chance that the coin either lands heads or lands tails or lands on its edge or doesn`t land at all is 100%. the third axiom says that the chance that the coin either lands heads or lands tails is the sum of the chance that the coin lands heads and the chance that the coin lands tails, because both cannot occur in the same coin toss. all other mathematical facts about probability can be derived from these three axioms. for example, it is true that the chance that an event does not occur is (100% − the chance that the event occurs). this is a consequence of the second and third axioms.
Sample sum, английский
The sum of a random sample from a population. the expected value of the sample sum is the sample size times the population mean. for sampling with replacement, the se of the sample sum is the population standard deviation, times the square-root of the sample size. for sampling without replacement, the se of the sample sum is the finite-population correction ((n−n)/(n−1))½ times the se of the sample sum for sampling with replacement, with n the size of the population and n the size of the sample.
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