Abstract: Methods, apparatus, and articles of manufacture to deduplicate audiences across media platforms are disclosed.

Abstract: A color conversion film is provided. The film includes at least one narrow band emission phosphor dispersed within a binder matrix, wherein the narrow band emission phosphor has a D50 particle size from about 0.1 ?m to about 15 ?m and is selected from the group consisting of a green-emitting U6+-containing phosphor, a green-emitting Mn2+-containing phosphor, a red-emitting phosphor based on complex fluoride materials activated by Mn4+, and a mixture thereof. A device is also provided.

Abstract: A disclosed example includes: at least one memory; instructions; and processor circuitry to execute the instructions to at least: determine a first sum of estimated individual cardinalities of audience members of first and second media platforms; determine a second sum of estimated pairwise cardinalities of ones of the audience members belonging to both the first and second media platforms; and generate lower and upper bound estimates of a deduplicated audience size based on the first and second sums; and send the deduplicated audience size to a computing device via a network communication.

Abstract: Methods, apparatus, systems, and articles of manufacture are disclosed to determine census audience measurements.

Abstract: Briefly, in one aspect, the present invention relates to processes for producing a stabilized Mn4+ doped phosphor in solid form and a composition containing such doped phosphor. Such process may include combining a) a solution comprising at least one substance selected from the group consisting of: K2HPO4, an aluminum phosphate, oxalic acid, phosphoric acid, a surfactant, a chelating agent, or a combination thereof, with b) a Mn4+ doped phosphor of formula I in solid form, where formula I may be: Ax [MFy]:Mn4+. The process can further include isolating the stabilized Mn4+ doped phosphor in solid form. In formula I, A may be Li, Na, K, Rb, Cs, or a combination thereof. In formula I, M may be Si, Ge, Sn, Ti, Zr, Al, Ga, In, Sc, Y, La, Nb, Ta, Bi, Gd, or a combination thereof. In formula I, x is the absolute value of the charge of the [MFy] ion and y is 5, 6 or 7.

Abstract: Example methods, apparatus, systems, and articles of manufacture are disclosed to estimate population reach for different unions based on marginal ratings. An example apparatus includes a reach determiner to determine a population reach estimate of a union of time intervals for which media ratings data is available, the population reach estimate based on a pseudo universe estimate of a population audience corresponding to the union of the time intervals; a pseudo universe determiner to determine a pseudo universe estimate of a recorded audience corresponding to the union of the time intervals; determine the pseudo universe estimate of the population audience based on the pseudo universe estimate of the recorded audience; and iteratively update the pseudo universe estimate of the population audience to reduce an error; and a consistency checker to adjust the population reach estimate, the reach determiner to output the population reach estimate of the union.

Abstract: An ink composition is provided. The composition includes a binder material and at least one narrow band emission phosphor being uniformly dispersed throughout the composition, wherein the narrow band emission phosphor has a D50 particle size from about 0.1 ?m to about 15 ?m and is selected from the group consisting of a green-emitting U6+-containing phosphor, a green-emitting Mn2+-containing phosphor, a red-emitting phosphor based on complex fluoride materials activated by Mn4+, and a mixture thereof. A device is also provided.

Abstract: Example methods, apparatus, and articles of manufacture are disclosed to estimate population reach. An example apparatus includes processor circuitry to determine first multipliers corresponding to a panelist impression count and panelist audience size totals of at least one of a first margin of media, a second margin of the media, or a union of the first margin and the second margin, the first margin, the second margin, and the union included in a tree association; concurrently determine second multipliers using the tree association and the first multipliers; determine third multipliers corresponding to a total audience size exposed to the media at at least one of the first margin, the second margin, or the union based on the tree association using database proprietor impression totals; and determine, based on the third multipliers, an estimate for the population reach of the media for at least one of the first margin, the second margin, or the union.

Abstract: An example apparatus to determine census-based audience metrics of media across multiple demographics includes an audience size determiner to determine a first census-level audience size based on a third-party audience size, a third-party impression count, and a first cross-demographic total census parameter value; an impression counts determiner to determine a first census-level impression count based on the third-party audience size, the third-party impression count, and the first cross demographic total census parameter value; and a verifier to determine whether the first cross-demographic total census parameter value satisfies a constraint based on the first census-level impression count; and when the constraint is not satisfied the verifier to: (a) discard the first cross-demographic total census parameter value, and (b) select a second cross-demographic total census parameter value, the second cross-demographic total census parameter value to determine a second census-level audience size and a second ce

Abstract: Methods and apparatus to estimate audience sizes and durations for media accesses are disclosed. An example apparatus at least one memory, instructions, and processor circuitry to execute the instructions to select constraint equations corresponding to one or more events, the one or more events corresponding to a first audience and a second audience, the first audience to include the second audience, and determine, based on the constraint equations and an auxiliary equation, event audience sizes corresponding to the first audience and to the one or more events.

Abstract: Example technical solutions to determine census-level audience metrics across demographics are disclosed. Disclosed example apparatus include a distribution parameter solver to initialize distribution parameter values for a probability of an individual within a demographic being (i) included in a subscriber audience for the demographic and (ii) having a first impression duration, the subscriber audience having a first subscriber audience size. Disclosed example apparatus also include a divergence parameter solver to determine divergence parameter values between (i) the first subscriber audience size and the first impression duration and (ii) a census-level audience size and a second impression duration based on the initialized distribution parameter values.

Abstract: Methods, apparatus, systems, and articles of manufacture are disclosed to estimate population reach from marginals. Example apparatus disclosed herein are to determine an audience relationship value based on first audience exposure values for a recorded audience of a media and a first de-duplicated audience value for the recorded audience of the media, determine bounds of a pseudo universe estimate of a population audience of the media based on the audience relationship value and second audience exposure values for the population audience of the media, and iteratively determine the pseudo universe estimate of the population audience and a second de-duplicated audience value for the population audience of the media based on the audience relationship value and the second audience exposure values, the pseudo universe estimate of the population audience to be within the bounds.

Abstract: Briefly, in one aspect, the present invention relates to processes for producing a stabilized Mn4+ doped phosphor in solid form and a composition containing such doped phosphor. Such process may include combining a) a solution comprising at least one substance selected from the group consisting of: K2HPO4, an aluminum phosphate, oxalic acid, phosphoric acid, a surfactant, a chelating agent, or a combination thereof, with b) a Mn4+ doped phosphor of formula I in solid form, where formula I may be: Ax [MFy]:Mn4+. The process can further include isolating the stabilized Mn4+ doped phosphor in solid form. In formula I, A may be Li, Na, K, Rb, Cs, or a combination thereof. In formula I, M may be Si, Ge, Sn, Ti, Zr, Al, Ga, In, Sc, Y, La, Nb, Ta, Bi, Gd, or a combination thereof. In formula I, x is the absolute value of the charge of the [MFy] ion and y is 5, 6 or 7.

Abstract: Methods, apparatus, systems and articles of manufacture (e.g., physical storage media) to estimate and use duplication factors for audience measurement are disclosed. Example apparatus disclosed herein are to access first marginal ratings values that represent respective portions of a first population associated with corresponding ones of a plurality of media segments, estimate the duplication factor based on a difference between a sum of the first marginal ratings values and a largest one of the first marginal ratings values, access second marginal ratings values that represent respective portions of a second population associated with corresponding ones of the media segments, and output, based on the duplication factor and the second marginal ratings values, a reach value for a union of the media segments, the reach value to represent a number of unique individuals of the second population associated with at least one of the media segments.

Abstract: An example apparatus includes an audience size calculator circuitry to determine a first census-level audience size, and an impression count calculator circuitry to determine a first census-level impression count.

Abstract: An example apparatus includes audience metrics collecting circuitry to access first audience metrics from a server, and access second audience metrics from the server, matrix building circuitry to build a matrix of the first audience metrics and the second audience metrics, missing values of the matrix corresponding to the second audience metrics, data transforming circuitry to transform the first audience metrics and the second audience metrics in the matrix, missing value calculating circuitry to determine imputed transformed values of the missing values using a recommender system, and the data transforming circuitry to recover imputed values of the missing values based on the imputed transformed values.

Abstract: Methods and apparatus to estimate census level audience sizes, impression counts, and duration data are disclosed. Example instructions cause one or more processor to at least set up a system of equations based on first census data; select a census parameter value based on a constraint for census parameter selection, the constraint based on media access represented in panel data; iteratively solve for second census data that satisfies the system of equations using the panel data and the census parameter value, the second census data including an audience size value, an impression count value, and a duration value for a media item accessed by anonymous audience members in a demographic group; and generate a report including the second census data.

Abstract: A process for preparing a Mn+4 doped phosphor of formula I Ax[MFy]:Mn+4?? I includes combining a first solution comprising a source of A and a second solution comprising H2MF6 in the presence of a source of Mn, to form the Mn+4 doped phosphor; wherein A is Li, Na, K, Rb, Cs, or a combination thereof; M is Si, Ge, Sn, Ti, Zr, Al, Ga, In, Sc, Y, La, Nb, Ta, Bi, Gd, or a combination thereof; x is the absolute value of the charge of the [MFy] ion; y is 5, 6 or 7; and wherein a value of a Hammett acidity function of the first solution is at least ?0.9. Particles produced by the process may have a particle size distribution with a D50 particle size of less than 10 ?m.

Abstract: Methods and apparatus to determine census information of events.

Abstract: Methods, apparatus, systems, and articles of manufacture are disclosed for audience measurement analysis including at least one memory, instructions, and processor circuitry to execute the instructions to scale at least one of subscriber duration values or total census-level duration values to generate a scaled duration value that corresponds to an impression count of at least a threshold amount of duration time, determine cross-demographic total census parameter values based on the scaled duration value, determine a search space of possible cross-demographic total census parameter values, the search space to include the determined cross-demographic total census parameter values, determine census-level metrics based on the determined cross-demographic total census parameter values, the census-level metrics including demographic census-level audience size data and demographic census duration values, output a report of the census-level metrics.