Create a mixture of gaussians in excel method

Reference no: EM131086892

Create a Mixture of Gaussians in Excel Method One: Random Variable Approach

The model will have three inputs σ₁, σ₂ , and q (assume means of zero): Use the inverse transform method to create two series of normal variables with standard deviations of σ₁ and σ₂ , each involving a series of calls to RAND(). Then, use a third series of calls to RAND () to determine which of the two normal variables just created make up the mixture,

Generate at least 65,000 numbers.
Calculate the mean, standard deviation, and excess kurtosis for all three distributions.
Check the resultant mixture versus the theoretical formulas for convergence.

This approach directly models the mixed Gaussian density function rather than the random numbers themselves.

The model will have three inputs (assume means of zero): σ₁, σ₂, and q.
Choose the discretized x-space carefully.
Graph all three distributions.
Use the density approach formulas for the moments (3.64)-(3.66) and check them against the theoretical values. If the match is poor, it could be due to a poor choice of the discretized x-space.

Reference no: EM131086892

Questions Cloud

Question regarding the java programming : Discuss GUI components, explain how to handle key and mouse events, and state how they relate to GUI programming in Java. What are the advantages of using an applet over a GUI?

Draw a ladder logic diagram to control this process : A PLC has eight inputs and eight outputs as shown in Figure 12.17(a). Draw a wiring diagram for this PLC that will be used as the controller for the situation of Exercise 4.

Use both the random variable approach and the density method : Download S&P 500 historical prices from 1950 to the present (using Bloomberg or Thomson Reuters if possible). Calibrate the two parameters σ1and q via the method of moments.

Trailer record which has sentinel value : In the end we also want to print out the total number of students who have passed. If the input data of all students is terminated by a trailer record which has sentinel value of 999999 for Roll no, write an algorithm to do this taskL-N-`I4

Create a mixture of gaussians in excel method : The model will have three inputs σ1, σ2 , and q (assume means of zero): Use the inverse transform method to create two series of normal variables with standard deviations of σ1 and σ2 , each involving a series of calls to RAND().

Cryptographic tunneling and the osi model : Write a paper consisting of 500-1,000 words (double-spaced) on the security effects of cryptographic tunneling based on an understanding of the OSI (Open Systems Interconnect) model.

The spring stretched a distance x0 due to the weight of wire : The circuit has total resistance R. When the magnetic field is perpendicular to the plane of paper is switched on springs are observed to extend further by the same distance, the magnetic field strength is.

How would incident command system be used to accomplish goal : Establishing control of a terrorist scene and the surrounding area is very important for the safety of emergency responders. How would the Incident Command System (ICS) be used to accomplish this goal?

Contrast symmetric encryption to asymmetric encryption : Compare and contrast symmetric encryption to asymmetric encryption. PKI uses digital certificates to encrypt / decrypt data. Analyze the process of encrypting and decrypting data using a digital certificate.

User Account

All Pages