Continuous distributions

Hyperbolic secant distribution

In probability theory and statistics, the hyperbolic secant distribution is a continuous probability distribution whose probability density function and characteristic function are proportional to the hyperbolic secant function. The hyperbolic secant function is equivalent to the reciprocal hyperbolic cosine, and thus this distribution is also called the inverse-cosh distribution. Generalisation of the distribution gives rise to the Meixner distribution, also known as the Natural Exponential Family - Generalised Hyperbolic Secant or NEF-GHS distribution. (Wikipedia).

Hyperbolic secant distribution
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Introduction to Hyperbolic Functions

This video provides a basic overview of hyperbolic function. The lesson defines the hyperbolic functions, shows the graphs of the hyperbolic functions, and gives the properties of hyperbolic functions.

From playlist Using the Properties of Hyperbolic Functions

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Calculus 2: Hyperbolic Functions (27 of 57) 1st and 2nd Derivative of Hyperbolic Functions

Visit http://ilectureonline.com for more math and science lectures! In this video I will find the 1st and the 2nd derivative of sech(4x)=? Next video in the series can be seen at:

From playlist CALCULUS 2 CH 16 HYPERBOLIC FUNCTIONS

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Calculus 2: Hyperbolic Functions (25 of 57) Summary of all the Derivatives

Visit http://ilectureonline.com for more math and science lectures! In this video I will summarize the derivatives and intergals of the all hyperbolic functions. Next video in the series can be seen at: https://youtu.be/_z3bzBwcwPk

From playlist CALCULUS 2 CH 16 HYPERBOLIC FUNCTIONS

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Derivative of the Inverse Hyperbolic Cotangent of the Secant Function: y = coth^(-1)(sec(x))

Derivative of the Inverse Hyperbolic Cotangent of the Secant Function: y = coth^(-1)(sec(x)) If you enjoyed this video please consider liking, sharing, and subscribing. Udemy Courses Via My Website: https://mathsorcerer.com My FaceBook Page: https://www.facebook.com/themathsorcerer The

From playlist Hyperbolic Functions

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The circle and projective homogeneous coordinates (cont.) | Universal Hyperbolic Geometry 7b

Universal hyperbolic geometry is based on projective geometry. This video introduces this important subject, which these days is sadly absent from most undergrad/college curriculums. We adopt the 19th century view of a projective space as the space of one-dimensional subspaces of an affine

From playlist Universal Hyperbolic Geometry

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Three ways!!

We evaluate a nice integral three ways: Euler substitution, hyperbolic substitution, and trigonometric substitution. Suggest a problem: https://forms.gle/ea7Pw7HcKePGB4my5 Please Subscribe: https://www.youtube.com/michaelpennmath?sub_confirmation=1 Merch: https://teespring.com/stores/mi

From playlist Interesting Integrals

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Calculus 2: Hyperbolic Functions (40 of 57) Finding arc(sechx)=?

Visit http://ilectureonline.com for more math and science lectures! In this video I will find y=(sech)^-1(x)=? or y=arcsech(x)=? Next video in the series can be seen at: https://youtu.be/mWwz32l4CUM

From playlist CALCULUS 2 CH 16 HYPERBOLIC FUNCTIONS

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Q24

If you enjoy my videos, then you can click here to subscribe https://www.youtube.com/blackpenredpen?sub_confirmation=1 My math T-shirts & hoodies: https://teespring.com/stores/blackpenredpen Site: https://blackpenredpen.com twitter: https://twitter.com/blackpenredpen Instagram: https://w

From playlist Hyperbolic Functions, Calculus 2

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Introduction to Hyperbolic Functions

This video provides a basic overview of hyperbolic function. The lesson defines the hyperbolic functions, shows the graphs of the hyperbolic functions, and gives the properties of hyperbolic functions. Site: http://mathispower4u.com Blog: http://mathispower4u.wordpress.com

From playlist Differentiation of Hyperbolic Functions

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integral of sec(x), 4 results!

integral of sec(x), 4 results, tanh^-1(sin(x))=ln|sec(x)+tan(x)|, https://www.youtube.com/watch?v=Tpl6pCwDwKI , complex defintion of sine & cosine, https://www.youtube.com/watch?v=CjQTWtW_x9o , 4 ways to integrate sec(x), integral of 1/cos(x), integral of sec(x) without that trick

From playlist Integral of sec^n(x)

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Prove a Property of Hyperbolic Functions: (tanh(x))^2 + (sech(x))^2 = 1

This video shows a proof of one of the properties of hyperbolic functions. Site: http://mathispower4u.com Blog: http://mathispower4u.wordpress.com

From playlist Using the Properties of Hyperbolic Functions

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Hyperbolic Functions II: Graphs of all the functions

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From playlist Complete Hyperbole

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Calculus 2 Lecture 6.6: A Discussion of Hyperbolic Functions

Calculus 2 Lecture 6.6: A Discussion of Hyperbolic Functions

From playlist Calculus 2 (Full Length Videos)

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Calculus 2: Hyperbolic Functions (23 of 57) Find the derivative of (sech x)=?

Visit http://ilectureonline.com for more math and science lectures! In this video I will find the (derivative of)sechx=? or d/dx(sechx)=? Next video in the series can be seen at: https://youtu.be/HC_s-cS_4H4

From playlist CALCULUS 2 CH 16 HYPERBOLIC FUNCTIONS

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Inverse Hyperbolic Functions Derivative and Integral Calculus 1

Evaluating an Inverse Hyperbolic Expression at 2:42 Derivative of an Inverse Hyperbolic Function at 4:25 8:38 Integration examples at 13:35 18:00 Hyperbolic Function Introduction 6 Examples https://www.youtube.com/watch?v=TEdED74yWPY Hyperbolic Functions Derivative & Integrals https://www

From playlist Calculus

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Integral of 1/(x^2+1)^2 THREE WAYS

Today, we evaluate the improper integral from -infinity to infinity of 1/(x^2+1)^2 using three different methods. 0:00 Trig Substitution 5:12 Hyperbolic Trig Substitution: 16:14 Complex Analysis:

From playlist Integrals

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2.9 Calculus of Hyperbolic Functions

OpenStax Calculus Volume 2

From playlist Calculus 2

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Derivative of the Inverse Hyperbolic Cosine of the Secant Function: y = cosh^(-1)(sec(x))

Derivative of the Inverse Hyperbolic Cosine of the Secant Function: y = cosh^(-1)(sec(x)) If you enjoyed this video please consider liking, sharing, and subscribing. Udemy Courses Via My Website: https://mathsorcerer.com My FaceBook Page: https://www.facebook.com/themathsorcerer There

From playlist Hyperbolic Functions

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Given the Hyperbolic Tangent of u find the other Five Hyperbolic Functions of u

Given the Hyperbolic Tangent of u find the other Five Hyperbolic Functions of u If you enjoyed this video please consider liking, sharing, and subscribing. Udemy Courses Via My Website: https://mathsorcerer.com My FaceBook Page: https://www.facebook.com/themathsorcerer There are severa

From playlist Hyperbolic Functions

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Mode (statistics) | Skewness | Statistics | Probability density function | Cumulative distribution function | Central limit theorem | Median | Catalan's constant | Gudermannian function | Variance | Probability distribution | Normal distribution | Natural exponential family | Random variable | Expected value | Probability theory | Kurtosis | Characteristic function (probability theory) | Logistic distribution