estimate of the integral vs estimation of the integral

Both 'estimate of the integral' and 'estimation of the integral' are correct phrases, but they are used in slightly different contexts. 'Estimate of the integral' is more commonly used when referring to a specific calculated value, while 'estimation of the integral' is used when discussing the process or act of estimating the integral.

Last updated: March 19, 2024 • 665 views

estimate of the integral

This phrase is correct and commonly used when referring to a specific calculated value for the integral.

This phrase is used when you have a specific numerical value that represents an estimation of the integral of a function.

Examples:

The estimate of the integral of the function f(x) is 25.
We obtained an estimate of the integral using numerical methods.

Show examples from the web [+]

Jun 26, 2012 ... Then you have an estimate of the integral since it's proportional to and ... about the statistical accuracy of an estimate of the integral based on ...
An Estimate of the Integral of the Modulus for a Generalized-Poisson-Distribution Characteristic Function over an Interval of Small Length.
the final estimate of the integral. abs.error. estimate of the modulus of the absolute error. subdivisions. the number of subintervals produced in the subdivision ...
then gives the error ǫ2 on the second estimate of the integral to be ǫ2 = ch2. 2 = 1. 3 ..... culate the new values of Si and Ti and the new estimate of the integral.

Alternatives:

approximation of the integral
calculation of the integral

estimation of the integral

This phrase is correct and commonly used when discussing the process or act of estimating the integral.

This phrase is used when talking about the general process of estimating the integral of a function, without referring to a specific numerical value.

Examples:

The estimation of the integral involves using numerical methods.
We need to improve our estimation of the integral for better accuracy.

Show examples from the web [+]

Laurent, Béatrice, The Annals of Statistics, 1996; On Bickel and Ritov's conjecture about adaptive estimation of the integral of the square of density derivative
Kerkyacharian, Gérard and Picard, Dominique, The Annals of Statistics, 1996; On Bickel and Ritov's conjecture about adaptive estimation of the integral of the ...
We consider the problem of estimating a functional of a density of the type . Starting from efficient estimators of linear and quadratic functionals of f and using a ...
Journal of Statistical Planning and Inference 9 (1984) 321-331 321 North- Holland A NOTE ON THE ESTIMATION OF THE INTEGRAL OF f 2(X) James C.

Alternatives:

estimating the integral
evaluation of the integral

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estimate of the integral vs estimation of the integral