How Long to Read Random Circulant Matrices

By Arup Bose

How Long Does it Take to Read Random Circulant Matrices?

It takes the average reader 3 hours and 13 minutes to read Random Circulant Matrices by Arup Bose

Assuming a reading speed of 250 words per minute. Learn more

Description

Circulant matrices have been around for a long time and have been extensively used in many scientific areas. This book studies the properties of the eigenvalues for various types of circulant matrices, such as the usual circulant, the reverse circulant, and the k-circulant when the dimension of the matrices grow and the entries are random. In particular, the behavior of the spectral distribution, of the spectral radius and of the appropriate point processes are developed systematically using the method of moments and the various powerful normal approximation results. This behavior varies according as the entries are independent, are from a linear process, and are light- or heavy-tailed. Arup Bose obtained his B.Stat., M.Stat. and Ph.D. degrees from the Indian Statistical Institute. He has been on its faculty at the Theoretical Statistics and Mathematics Unit, Kolkata, India since 1991. He is a Fellow of the Institute of Mathematical Statistics, and of all three national science academies of India. He is a recipient of the S.S. Bhatnagar Prize and the C.R. Rao Award. He is the author of three books: Patterned Random Matrices, Large Covariance and Autocovariance Matrices (with Monika Bhattacharjee) and U-Statistics, M_m-Estimators and Resampling (with Snigdhansu Chatterjee). Koushik Saha obtained a B.Sc. in Mathematics from Ramakrishna Mission Vidyamandiara, Belur and an M.Sc. in Mathematics from Indian Institute of Technology Bombay. He obtained his Ph.D. degree from the Indian Statistical Institute under the supervision of Arup Bose. His thesis on circulant matrices received high praise from the reviewers. He has been on the faculty of the Department of Mathematics, Indian Institute of Technology Bombay since 2014.

How long is Random Circulant Matrices?

Random Circulant Matrices by Arup Bose is 192 pages long, and a total of 48,384 words.

This makes it 65% the length of the average book. It also has 59% more words than the average book.

How Long Does it Take to Read Random Circulant Matrices Aloud?

The average oral reading speed is 183 words per minute. This means it takes 4 hours and 24 minutes to read Random Circulant Matrices aloud.

What Reading Level is Random Circulant Matrices?

Random Circulant Matrices is suitable for students ages 10 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Random Circulant Matrices?

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