mathematics

Gwilym Jenkins

Gwilym Jenkins 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 Gwilym Jenkins rather than just read about it. In short: Gwilym Meirion Jenkins (12 August 1932 – 10 July 1982) was a Welsh statistician and systems engineer, born in Gowerton (Welsh: Tregŵyr), Swansea, Wales. He is most notable for his pioneering work with George Box on autoregressive moving average models, also called Box–Jenkins models, in time-series analysis.

Key takeaways

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

Reference excerpt

Gwilym Meirion Jenkins (12 August 1932 – 10 July 1982) was a Welsh statistician and systems engineer, born in Gowerton (Welsh: Tregŵyr), Swansea, Wales. He is most notable for his pioneering work with George Box on autoregressive moving average models, also called Box–Jenkins models, in time-series analysis. He earned a first class honours degree in mathematics in 1953 followed by a PhD at University College London in 1956. After graduating, he married Margaret Bellingham and together they raised three children. His first job after university was junior fellow at the Royal Aircraft Establishment. He followed this by a series of visiting lecturer and professor positions at Imperial College London, Stanford University, Princeton University, and the University of Wisconsin–Madison, before settling in as a professor of Systems Engineering at Lancaster University in 1965. His initial work concerned discrete time domain models for chemical engineering applications. While at Lancaster, he founded and became managing director of ISCOL (International Systems Corporation of Lancaster). He remained in academia until 1974, when he left to start his own consulting company. He served on the Research Section Committee and Council of the Royal Statistical Society in the 1960s, founded the Journal of Systems Engineering in 1969, and briefly carried out public duties with the Royal Treasury in the mid-1970s. He was elected to the Institute of Mathematical Statistics and the Institute of Statisticians. He was a jazz and blues enthusiast and an accomplished pianist. He died from Hodgkin's lymphoma in 1982.

Books by G. M. Jenkins Spectral analysis and its applications (with D. G. Watts) 1968 Time Series Analysis: Forecasting and Control (with G. E. P. Box and Gregory C. Reinsel) 2008 Practical experience with modelling and forecasting time series 1979 Case studies in time series analysis (with G. McLeod) 1983

Obituary G. E. P. Box (1983) G. M. Jenkins, 1933-1982 Journal of the Royal Statistical Society. Series A (General), Vol. 146, No. 2, pp. 205–206.

References

External links George Box's Interview for the International Journal of Forecasting G. M. Jenkins at the Mathematics Genealogy Project Biography of Gwilym M. Jenkins from the Institute for Operations Research and the Management Sciences

Worked examples

Example 1 — a first encounter with Gwilym Jenkins

Start with the simplest possible case. Write down what Gwilym Jenkins 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 Gwilym Jenkins 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 Gwilym Jenkins 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 Gwilym Jenkins

In research: Gwilym Jenkins 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 Gwilym Jenkins 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: Gwilym Jenkins is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1933 births, 1982 deaths, 20th-century British statisticians, so understanding it makes those chapters shorter.
In everyday life: Look for Gwilym Jenkins 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 Gwilym Jenkins in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Gwilym Jenkins 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 Gwilym Jenkins out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Gwilym Jenkins in simple terms?

Why does Gwilym Jenkins 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 Gwilym Jenkins?

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 Gwilym Jenkins.