A time series is a sequence of observations, usually ordered in time, although in some cases the ordering may be according to another dimension. The feature of time series analysis which distinguishes it from other statistical analysis is the explicit recognition of the importance of the order in which the observations are made. While in many problems the observations are statistically independent, in time series successive observations may be dependent, and the dependence may depend on the positions in the sequence. The nature of a series and the structure of its generating process also may involve in other ways the sequence in which the observations are taken. (Theodore Wilbur Anderson)

A time series is a sequence of observations, usually ordered in time, although in some cases the ordering may be according to another dimension. The feature of time series analysis which distinguishes it from other statistical analysis is the explicit recognition of the importance of the order in which the observations are made. While in many problems the observations are statistically independent, in time series successive observations may be dependent, and the dependence may depend on the positions in the sequence. The nature of a series and the structure of its generating process also may involve in other ways the sequence in which the observations are taken.

Theodore Wilbur Anderson

Related topics

dimension feature nature order sequence series take while ways

Related quotes

All life on earth - everything from bacteria to mushrooms to hippos - shares an astonishing range of detailed biochemical similarities, including the structure of heredity in DNA and RNA, and the universal use of ATP as an energy-storing compound. Two possible scenarios, with markedly different implications for the nature of life, might explain these regularities: either all earthly life shares these features because no other chemistry can work, or these similarities only record the common descent of all organisms on earth from a single origin that happened to feature this chemistry as one possibility among many.

Stephen Jay Gould

We no longer have political movements. While thousands of us may come together for a rally or march, we are bound together on such occasions by a single shared interest. Any effort to convert such interests into collective goals is usually undermined by the fragmented individualism of our concerns. Laudable goals-fighting climate change, opposing war, advocating public healthcare or penalizing bankers-are united by nothing more than the expression of emotion. In our political as in our economic lives, we have become consumers: choosing from a broad gamut of competing objectives, we find it hard to imagine ways or reasons to combine these into a coherent whole. We must do better than this.

Tony Judt

Fear and love do not go together. Fear is constricting, self-centered and self-conscious, whereas love is expansive, selfless and directed towards service. To become effective spiritual warriors, we must learn to cultivate genuine love, courage, and compassion and come to depend on our inner faculties rather than externals. This allows us to understand our own true nature more deeply, and to behave more like the children and servants of God that we are. Then, firmly established in a higher state of consciousness, we can serve others-and the world-from the deepest, most aware and loving aspect of ourselves during these challenging times.

Bhakti Tirtha Swami

Let true Christians then, with becoming earnestness, strive in all things to recommend their profession, and to put to silence the vain scoffs of ignorant objectors. Let them boldly assert the cause of Christ in an age when so many, who bear the name of Christians, are ashamed of Him: and let them consider as devolved on Them the important duty of suspending for a while the fall of their country, and, perhaps, of performing a still more extensive service to society at large; not by busy interference in politics, in which it cannot but be confessed there is much uncertainty; but rather by that sure and radical benefit of restoring the influence of Religion, and of raising the standard of morality.

William Wilberforce

I have presented the periodic table as a kind of travel guide to an imaginary country, of which the elements are the various regions. This kingdom has a geography: the elements lie in particular juxtaposition to one another, and they are used to produce goods, much as a prairie produces wheat and a lake produces fish. It also has a history. Indeed, it has three kinds of history: the elements were discovered much as the lands of the world were discovered; the kingdom was mapped, just as the world was mapped, and the relative positions of the elements came to take on a great significance; and the elements have their own cosmic history, which can be traced back to the stars.

Peter Atkins