Below you will find example sentences with "normal distribution". The examples show how this phrase is used in natural context and which words often surround it.
Normal Distribution in a sentence
Corpus data
- Displayed example sentences: 20
- Discovered as a combination around: distribution
- Corpus frequency in the collocation scan: 14
- Phrase length: 2 words
- Average sentence length: 25.5 words
Sentence profile
- Phrase position: 6 start, 7 middle, 7 end
- Sentence types: 20 statements, 0 questions, 0 exclamations
Corpus analysis
- The phrase "normal distribution" has 2 words and usually appears in the middle in these examples. The average sentence has 25.5 words and is mostly made up of statements.
- Around this phrase, patterns and context words such as a joint normal distribution, a univariate normal distribution, standard, two and mean stand out.
- In the phrase index, this combination connects with new normal, electricity distribution, probability distribution, electricity distribution, probability distribution and exponential distribution, linking the page to nearby combinations.
Example types with normal distribution
This selection groups the examples by length and sentence type, making usage of the full phrase easier to scan:
Laplace expanded De Moivre's finding by approximating the binomial distribution with the normal distribution. (15 words)
Then the distribution of the standardized sums converges towards the standard normal distribution N(0,1). (16 words)
In contrast, most of the South received moderate to light rainfall with poor to normal distribution. (16 words)
Infinite divisibility and Cramér's theorem For any positive integer n, any normal distribution with mean μ and variance σ 2 is the distribution of the sum of n independent normal deviates, each with mean μ/n and variance σ 2 /n. (42 words)
Two normally distributed random variables need not be jointly bivariate normal seeAlso The fact that two random variables X and Y both have a normal distribution does not imply that the pair (X, Y) has a joint normal distribution. (39 words)
For those institutions that qualify for inclusion in the subject table, each score is compared to the average score achieved by the other institutions that qualify, using standard deviations to gain a normal distribution of standardised scores (S-scores). (39 words)
Example sentences (20)
Two normally distributed random variables need not be jointly bivariate normal seeAlso The fact that two random variables X and Y both have a normal distribution does not imply that the pair (X, Y) has a joint normal distribution.
Although the half-normal distribution does not obey Benford's law, the ratio distribution of two half-normal distributions does.
Asymptotic normality main An asymptotically normal estimator is a consistent estimator whose distribution around the true parameter θ approaches a normal distribution with standard deviation shrinking in proportion to as the sample size n grows.
Infinite divisibility and Cramér's theorem For any positive integer n, any normal distribution with mean μ and variance σ 2 is the distribution of the sum of n independent normal deviates, each with mean μ/n and variance σ 2 /n.
The fields of probability and statistics frequently use the normal distribution as a simple model for complex phenomena; for example, scientists generally assume that the observational error in most experiments follows a normal distribution.
Among English speakers, both "normal distribution" and "Gaussian distribution" are in common use, with different terms preferred by different communities.
Further, the central limit theorem shows that the probability distribution of the averaged measurements will be closer to a normal distribution than that of individual measurements.
Laplace expanded De Moivre's finding by approximating the binomial distribution with the normal distribution.
Properties The normal distribution is the only absolutely continuous distribution whose cumulants beyond the first two (i.
The distribution of the sum (or average) of the rolled numbers will be well approximated by a normal distribution.
The fit of the log-normal distribution depends on the mean and the variance of the distribution.
The kurtosis of any univariate normal distribution is 3. It is common to compare the kurtosis of a distribution to this value.
Then the distribution of the standardized sums converges towards the standard normal distribution N(0,1).
The table below shows samples taken from the uniform distribution and their representation on the standard normal distribution.
A random element h ∈ H is said to be normal if for any constant a ∈ H the scalar product (a, h) has a (univariate) normal distribution.
For those institutions that qualify for inclusion in the subject table, each score is compared to the average score achieved by the other institutions that qualify, using standard deviations to gain a normal distribution of standardised scores (S-scores).
When we superimpose a normal distribution curve on this histogram, we can observe the stock's pronounced volatility, which is evident in the 1 and 2 sigma values of 6.4% and 12.4%.
The don described the situation as a gross violation of the normal distribution characteristics of such attributes.
In contrast, most of the South received moderate to light rainfall with poor to normal distribution.
About 68% of values drawn from a normal distribution are within one standard deviation σ away from the mean; about 95% of the values lie within two standard deviations; and about 99.7% are within three standard deviations.