Shannon's Collected Papers | Neil Sloane's home page | Aaron Wyner's home page
We thank Patt Leonard of the Univ. Illinois Press for supplying information about some translations of Item 38 of which we were unaware.
Last modified May 2 1998.
``A skeleton key to the information theory notes,'' 3 pp.
``Bounds on the tails of martingales and related questions,''
19 pp.
``Some useful inequalities for distribution functions,''
3 pp.
``A lower bound on the tail of a distribution,''
9 pp.
``A combinatorial theorem,''
1 p.
``Some results on determinants,''
3 pp.
``Upper and lower bounds for powers of a matrix
with non-negative elements,''
3 pp.
``The number of sequences of a given length,''
3 pp.
``Characteristic for a language with independent letters,''
4 pp.
``The probability of error in optimal codes,''
5 pp.
``Zero error codes and the zero error capacity $C_0$,''
10 pp.
``Lower bound for $P_ef$ for a completely connected channel
with feedback,''
1 p.
``A lower bound for $P_e$ when $R > C$,''
2 pp.
``A lower bound for $P_e$,''
2 pp.
``Lower bound with one type of input and
many types of output,''
3 pp.
``Application of `sphere-packing' bounds to
feedback case,''
8 pp.
``A result for the memoryless feedback channel,''
1 p.
``Continuity of $P_{e opt }$ as a function of
transition probabilities,'' 1 p.
``Codes of a fixed composition,'' 1 p.
``Relation of $P_e$ to $rho$,'' 2 pp.
``Bound on $P_e$ for random ode by simple threshold argument,''
4 pp.
``A bound on $P_e$ for a random code,''
3 pp.
``The Feinstein bound,'' 2 pp.
``Relations between probability and minimum word separation,''
4 pp.
``Inequalities for decodable codes,'' 3 pp.
``Convexity of channel capacity as a function of transition probabilities,''
1 pp.
``A geometric interpretation of channel capacity,'' 6 pp.
``Log moment generating function for the square of a
Gaussian variate,'' 2 pp.
``Upper bound on $P_e$ for Gaussian channel by
expurgated random code,'' 2 pp.
``Lower bound on $P_e$ in Gaussian channel
by minimum distance argument,'' 2 pp.
``The sphere packing bound for the Gaussian power limited channel,'' 4 pp.
``The $T$-terminal channel,'' 7 pp.
``Conditions for constant mutual information,'' 2 pp.
``The central limit theorem with large deviations,'' 6 pp.
``The Chernoff inequality,'' 2 pp.
``Upper and lower bounds on the tails of distributions,'' 4 pp.
``Asymptotic behavior of the distribution function,'' 5 pp.
``Generalized Chebycheff and Chernoff inequalities,'' 1 p.
``Channels with side information at the transmitter,'' 13 pp.
``Some miscellaneous results in coding theory,'' 15 pp.
``Error probability bounds for noisy channels,'' 20 pp.
Shannon's Collected Papers | Neil Sloane's home page | Aaron Wyner's home page