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Long-memory processes are known to play an important part in many areas of science and technology, including physics, geophysics, hydrology, telecommunications, economics, finance, climatology, and network engineering. In the last 20 years enormous progress has been made in understanding the probabilistic foundations and statistical principles of such processes. This book provides a timely and comprehensive review, including a thorough discussion of mathematical and probabilistic foundations and statistical methods, emphasizing their practical motivation and mathematical justification. Proofs of the main theorems are provided and data examples illustrate practical aspects. This book will be a valuable resource for researchers and graduate students in statistics, mathematics, econometrics and other quantitative areas, as well as for practitioners and applied researchers who need to analyze data in which long memory, power laws, self-similar scaling or fractal properties are relevant.
Easter is about celebrating Jesus Christ dying and coming back to life. It is a Christian holiday. People attend church. They also gather for a big meal and activities like egg hunts. Readers will discover how a shared holiday can have multiple traditions and be celebrated in all sorts of ways.
Wesak is about celebrating Buddha. It is a Buddhist holiday. People clean and decorate temples for the celebration. Then, they honor Buddha at temples by making offerings and reciting holy texts. People also do good deeds during Wesak. Readers will discover how a shared holiday can have multiple traditions and be celebrated in all sorts of ways.
Thanksgiving is the day people give thanks for the blessings in their lives. It's also a time to gather with family and friends to enjoy traditional foods like turkey, stuffing, and pumpkin pie. Celebrated on the fourth Thursday in November, this American holiday has been around since the 1620s. From the very first celebration to today's parades, food, and football, learn about this festive holiday's traditions and history.
Hanukkah is about celebrating! Often called the Festival of Lights, the eight-day celebration honors a miracle that happened long ago. During Hanukkah, people light the menorah. They sing songs. They gather with family and friends to eat special food and give gifts. Readers will discover how a shared holiday can have multiple traditions and be celebrated in all sorts of ways.
The book is a comprehensive treatment of classical and modern ruin probability theory. Some of the topics are Lundberg's inequality, the Cramér-Lundberg approximation, exact solutions, other approximations (eg. for heavy-tailed claim size distributions), finite horizon ruin probabilities, extensions of the classical compound Poisson model to allow for reserve-dependent premiums, Markov-modulation or periodicity. Special features of the book are the emphasis on change of measure techniques, phase-type distributions as a computational vehicle and the connection to other applied probability areas like queueing theory.
"Martin Luther King Jr. Day celebrates the life of the civil rights movement leader. Some people observe the day by singing, reading, or watching movies about him. Others volunteer in their community or make peace-inspired crafts. Readers will discover how a shared holiday can have multiple traditions and be celebrated in all sorts of ways"--
Valentine's Day is about celebrating love. Around the world, people show their affection for others on this special day. Some people exchange cards or paper hearts. Others give chocolate pigs or other candy. Readers will discover how a shared holiday can have multiple traditions and be celebrated in all sorts of ways.
This textbook introduces the basic concepts from probability theory and statistics which are needed for statistical analysis of data encountered in the biological and health sciences. No previous study is required. Advanced mathematical tools, such as integration and differentiation, are kept to a minimum. The emphasis is put on the examples. Probabilistic methods are discussed at length, but the focus of this edition is on statistics.The examples are kept simple, so that the reader can learn quickly and see the usefulness of various statistical and probabilistic methods. Some of the examples used in this book draw attention to various problems related to environmental issues, climate change...
This book contains articles arising from a conference in honour of mathematician-statistician Miklόs Csörgő on the occasion of his 80th birthday, held in Ottawa in July 2012. It comprises research papers and overview articles, which provide a substantial glimpse of the history and state-of-the-art of the field of asymptotic methods in probability and statistics, written by leading experts. The volume consists of twenty articles on topics on limit theorems for self-normalized processes, planar processes, the central limit theorem and laws of large numbers, change-point problems, short and long range dependent time series, applied probability and stochastic processes, and the theory and methods of statistics. It also includes Csörgő’s list of publications during more than 50 years, since 1962.