mathematics

Masaaki Kijima

Masaaki Kijima is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Masaaki Kijima rather than just read about it. In short: Masaaki Kijima (born 1957) is a Japanese economist and mathematician. The Dean of the School of Informatics and Data Science at Hiroshima University, he has made significant contributions to applied probability and financial engineering.

Key takeaways

Masaaki Kijima belongs to mathematics; place it in that map before memorising details.
Learn the definition first, then one example that makes the definition concrete.
Connect Masaaki Kijima to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Masaaki Kijima from memory before moving on to harder problems.

Reference excerpt

Masaaki Kijima (born 1957) is a Japanese economist and mathematician. The Dean of the School of Informatics and Data Science at Hiroshima University, he has made significant contributions to applied probability and financial engineering. The most familiar of his contributions in the field of applied probability was the development of the G-renewal process. Kijima graduated with a bachelor's degree from the Tokyo Institute of Technology in 1980, then obtained a Ph.D. in business from the University of Rochester in 1986.

Work Kijima and Sumita were the first to develop the generalized renewal process (GRP). Two years later, Kijima, Morimura, and Suzuki adapted the G-Renewal process to model the failure process of repairable systems with general repair conditions through the notion of the virtual age.

Published books Stochastic Processes with Applications to Finance 2nd Edition, Kijima Masaaki, CRC Press LLC, April 2013, ISBN 143988482X Stochastic Processes with Applications to Finance, Kijima Masaaki, CRC Press LLC, July 2002, ISBN 1584882247 Markov Processes for Stochastic Modeling, Kijima Masaaki, Springer, January 1997, ISBN 0412606607

Selected scholarly papers Source:

Some results for repairable systems with general repair, Masaaki Kijima, Journal of Applied Probability, Vol. 26(1), pages: 89–102, 1989 Periodical replacement problem without assuming minimal repair, Masaaki Kijima, European Journal of Operational Research, Vol. 37(2), pages: 194–203, 1988 Economic models for the environmental Kuznets curve: A survey, Journal of Economic Dynamics and Control, Masaaki Kijima, Katsumasa Nishide, Atsuyuki Ohyama, Vol. 34(7), pages: 1187–1201, 2010 A useful generalization of renewal theory: Counting processes governed by nonnegative Markovian increments, Masaaki Kijima and Ushio Sumita, Journal of Applied Probability, Vol. 23(1), pages: 71–88, 1986 A Markov chain model for valuing credit risk derivatives, Masaaki Kijima and Katsuya Komoribayashi, Journal of Derivatives, Vol. 6(1), pages: 97–108, 1998 On the significance of expected shortfall as a coherent risk measure, Masaaki Kijima and Koji Inui, Journal of Banking and Finance, Vol. 29, pages: 853–864, 2005 A Markovian framework in multi-factor Heath-Jarrow-Morton models, Masaaki Kijima and Koji Inui, Journal of Financial and Quantitative Analysis, Vol. 33(3), pages: 423–440, 1998 A multi-quality model of interest rates, Masaaki Kijima, Keiichi Tanaka, and Tony Wong, Quantitative Finance, vol. 9(2), pages: 133–145, 2009

References

Worked examples

Example 1 — a first encounter with Masaaki Kijima

Start with the simplest possible case. Write down what Masaaki Kijima claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Masaaki Kijima before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Masaaki Kijima ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Masaaki Kijima

In research: Masaaki Kijima appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry: Engineering practice reuses Masaaki Kijima in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom: Masaaki Kijima is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1957 births, Academic staff of Hiroshima University, Japanese economists, so understanding it makes those chapters shorter.
In everyday life: Look for Masaaki Kijima outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Masaaki Kijima in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Masaaki Kijima means in your own words.
Compare your version with the excerpt and mark what you missed.
Work through the three examples above with pen and paper.
Explain Masaaki Kijima out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Masaaki Kijima in simple terms?

Why does Masaaki Kijima matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Masaaki Kijima?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Masaaki Kijima.